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Finding the Fourth Proportional to 415,415.40, 623,123.10 and 257,821.80

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Solution

The fourth proportional to 415,415.40, 623,123.10 and 257,821.80 is: 386,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,415.40 : 623,123.10 = 257,821.80 : x
  2. Step 2: Convert to fraction form
    415,415.40/623,123.10 = 257,821.80/x
  3. Step 3: Cross multiply
    415,415.40x = 623,123.10 × 257,821.80
  4. Step 4: Simplify right side
    415,415.40x = 160,654,719,263.58
  5. Step 5: Solve for x
    x = 160,654,719,263.58/415,415.40
  6. Step 6: Final answer
    x = 386,732.70

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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.