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Finding the Fourth Proportional to 459,156.60, 687,374.10 and 341,350.20

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Solution

The fourth proportional to 459,156.60, 687,374.10 and 341,350.20 is: 511,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,156.60 : 687,374.10 = 341,350.20 : x
  2. Step 2: Convert to fraction form
    459,156.60/687,374.10 = 341,350.20/x
  3. Step 3: Cross multiply
    459,156.60x = 687,374.10 × 341,350.20
  4. Step 4: Simplify right side
    459,156.60x = 234,635,286,509.82
  5. Step 5: Solve for x
    x = 234,635,286,509.82/459,156.60
  6. Step 6: Final answer
    x = 511,013.64

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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.