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Finding the Fourth Proportional to 459,147.60, 688,721.40 and 299,715.30

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Solution

The fourth proportional to 459,147.60, 688,721.40 and 299,715.30 is: 449,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,147.60 : 688,721.40 = 299,715.30 : x
  2. Step 2: Convert to fraction form
    459,147.60/688,721.40 = 299,715.30/x
  3. Step 3: Cross multiply
    459,147.60x = 688,721.40 × 299,715.30
  4. Step 4: Simplify right side
    459,147.60x = 206,420,341,017.42
  5. Step 5: Solve for x
    x = 206,420,341,017.42/459,147.60
  6. Step 6: Final answer
    x = 449,572.95

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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.