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Finding the Fourth Proportional to 454,205.60, 681,308.40 and 429,711.20

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Solution

The fourth proportional to 454,205.60, 681,308.40 and 429,711.20 is: 644,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,205.60 : 681,308.40 = 429,711.20 : x
  2. Step 2: Convert to fraction form
    454,205.60/681,308.40 = 429,711.20/x
  3. Step 3: Cross multiply
    454,205.60x = 681,308.40 × 429,711.20
  4. Step 4: Simplify right side
    454,205.60x = 292,765,850,134.08
  5. Step 5: Solve for x
    x = 292,765,850,134.08/454,205.60
  6. Step 6: Final answer
    x = 644,566.80

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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.