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Finding the Fourth Proportional to 409,218.60, 615,140.10 and 291,703.80

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Solution

The fourth proportional to 409,218.60, 615,140.10 and 291,703.80 is: 438,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,218.60 : 615,140.10 = 291,703.80 : x
  2. Step 2: Convert to fraction form
    409,218.60/615,140.10 = 291,703.80/x
  3. Step 3: Cross multiply
    409,218.60x = 615,140.10 × 291,703.80
  4. Step 4: Simplify right side
    409,218.60x = 179,438,704,702.38
  5. Step 5: Solve for x
    x = 179,438,704,702.38/409,218.60
  6. Step 6: Final answer
    x = 438,491.08

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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.