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Finding the Fourth Proportional to 459,578.60, 688,007.10 and 341,772.20

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Solution

The fourth proportional to 459,578.60, 688,007.10 and 341,772.20 is: 511,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,578.60 : 688,007.10 = 341,772.20 : x
  2. Step 2: Convert to fraction form
    459,578.60/688,007.10 = 341,772.20/x
  3. Step 3: Cross multiply
    459,578.60x = 688,007.10 × 341,772.20
  4. Step 4: Simplify right side
    459,578.60x = 235,141,700,182.62
  5. Step 5: Solve for x
    x = 235,141,700,182.62/459,578.60
  6. Step 6: Final answer
    x = 511,646.32

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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.