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Finding the Fourth Proportional to 429,417.32, 644,148.52 and 129,890.26

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Solution

The fourth proportional to 429,417.32, 644,148.52 and 129,890.26 is: 194,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,417.32 : 644,148.52 = 129,890.26 : x
  2. Step 2: Convert to fraction form
    429,417.32/644,148.52 = 129,890.26/x
  3. Step 3: Cross multiply
    429,417.32x = 644,148.52 × 129,890.26
  4. Step 4: Simplify right side
    429,417.32x = 83,668,618,741.42
  5. Step 5: Solve for x
    x = 83,668,618,741.42/429,417.32
  6. Step 6: Final answer
    x = 194,842.21

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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.