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Finding the Fourth Proportional to 402,909.20, 604,829.40 and 216,285.20

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Solution

The fourth proportional to 402,909.20, 604,829.40 and 216,285.20 is: 324,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,909.20 : 604,829.40 = 216,285.20 : x
  2. Step 2: Convert to fraction form
    402,909.20/604,829.40 = 216,285.20/x
  3. Step 3: Cross multiply
    402,909.20x = 604,829.40 × 216,285.20
  4. Step 4: Simplify right side
    402,909.20x = 130,815,647,744.88
  5. Step 5: Solve for x
    x = 130,815,647,744.88/402,909.20
  6. Step 6: Final answer
    x = 324,677.74

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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.