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Finding the Fourth Proportional to 429,801.68, 645,287.16 and 296,351.12

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Solution

The fourth proportional to 429,801.68, 645,287.16 and 296,351.12 is: 444,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,801.68 : 645,287.16 = 296,351.12 : x
  2. Step 2: Convert to fraction form
    429,801.68/645,287.16 = 296,351.12/x
  3. Step 3: Cross multiply
    429,801.68x = 645,287.16 × 296,351.12
  4. Step 4: Simplify right side
    429,801.68x = 191,231,572,587.62
  5. Step 5: Solve for x
    x = 191,231,572,587.62/429,801.68
  6. Step 6: Final answer
    x = 444,929.79

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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.