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Finding the Fourth Proportional to 415,209.43, 569,252.07 and 407,642.64

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Solution

The fourth proportional to 415,209.43, 569,252.07 and 407,642.64 is: 558,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,209.43 : 569,252.07 = 407,642.64 : x
  2. Step 2: Convert to fraction form
    415,209.43/569,252.07 = 407,642.64/x
  3. Step 3: Cross multiply
    415,209.43x = 569,252.07 × 407,642.64
  4. Step 4: Simplify right side
    415,209.43x = 232,051,413,586.34
  5. Step 5: Solve for x
    x = 232,051,413,586.34/415,209.43
  6. Step 6: Final answer
    x = 558,877.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.