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Finding the Fourth Proportional to 306,350.12, 459,464.42 and 291,159.92

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Solution

The fourth proportional to 306,350.12, 459,464.42 and 291,159.92 is: 436,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,350.12 : 459,464.42 = 291,159.92 : x
  2. Step 2: Convert to fraction form
    306,350.12/459,464.42 = 291,159.92/x
  3. Step 3: Cross multiply
    306,350.12x = 459,464.42 × 291,159.92
  4. Step 4: Simplify right side
    306,350.12x = 133,777,625,646.61
  5. Step 5: Solve for x
    x = 133,777,625,646.61/306,350.12
  6. Step 6: Final answer
    x = 436,682.14

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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.