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Finding the Fourth Proportional to 491,709.40, 737,564.10 and 487,043.80

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Solution

The fourth proportional to 491,709.40, 737,564.10 and 487,043.80 is: 730,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,709.40 : 737,564.10 = 487,043.80 : x
  2. Step 2: Convert to fraction form
    491,709.40/737,564.10 = 487,043.80/x
  3. Step 3: Cross multiply
    491,709.40x = 737,564.10 × 487,043.80
  4. Step 4: Simplify right side
    491,709.40x = 359,226,022,007.58
  5. Step 5: Solve for x
    x = 359,226,022,007.58/491,709.40
  6. Step 6: Final answer
    x = 730,565.70

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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.