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Finding the Fourth Proportional to 437,064.30, 655,855.65 and 287,732.70

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Solution

The fourth proportional to 437,064.30, 655,855.65 and 287,732.70 is: 431,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,064.30 : 655,855.65 = 287,732.70 : x
  2. Step 2: Convert to fraction form
    437,064.30/655,855.65 = 287,732.70/x
  3. Step 3: Cross multiply
    437,064.30x = 655,855.65 × 287,732.70
  4. Step 4: Simplify right side
    437,064.30x = 188,711,116,984.76
  5. Step 5: Solve for x
    x = 188,711,116,984.76/437,064.30
  6. Step 6: Final answer
    x = 431,769.69

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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.