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Finding the Fourth Proportional to 491,207.03, 736,780.48 and 288,915

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Solution

The fourth proportional to 491,207.03, 736,780.48 and 288,915 is: 433,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,207.03 : 736,780.48 = 288,915 : x
  2. Step 2: Convert to fraction form
    491,207.03/736,780.48 = 288,915/x
  3. Step 3: Cross multiply
    491,207.03x = 736,780.48 × 288,915
  4. Step 4: Simplify right side
    491,207.03x = 212,866,932,379.20
  5. Step 5: Solve for x
    x = 212,866,932,379.20/491,207.03
  6. Step 6: Final answer
    x = 433,354.82

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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.