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Finding the Fourth Proportional to 415,897.40, 623,846.10 and 205,491.80

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Solution

The fourth proportional to 415,897.40, 623,846.10 and 205,491.80 is: 308,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,897.40 : 623,846.10 = 205,491.80 : x
  2. Step 2: Convert to fraction form
    415,897.40/623,846.10 = 205,491.80/x
  3. Step 3: Cross multiply
    415,897.40x = 623,846.10 × 205,491.80
  4. Step 4: Simplify right side
    415,897.40x = 128,195,258,011.98
  5. Step 5: Solve for x
    x = 128,195,258,011.98/415,897.40
  6. Step 6: Final answer
    x = 308,237.70

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.