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Finding the Fourth Proportional to 409,443,374.40, 614,165,061.60 and 204,944,877.60

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Solution

The fourth proportional to 409,443,374.40, 614,165,061.60 and 204,944,877.60 is: 307,417,316.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,443,374.40 : 614,165,061.60 = 204,944,877.60 : x
  2. Step 2: Convert to fraction form
    409,443,374.40/614,165,061.60 = 204,944,877.60/x
  3. Step 3: Cross multiply
    409,443,374.40x = 614,165,061.60 × 204,944,877.60
  4. Step 4: Simplify right side
    409,443,374.40x = 125,869,983,375,808,464
  5. Step 5: Solve for x
    x = 125,869,983,375,808,464/409,443,374.40
  6. Step 6: Final answer
    x = 307,417,316.40

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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.