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Finding the Fourth Proportional to 459,120.87, 688,693.62 and 143,577.78

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Solution

The fourth proportional to 459,120.87, 688,693.62 and 143,577.78 is: 215,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,120.87 : 688,693.62 = 143,577.78 : x
  2. Step 2: Convert to fraction form
    459,120.87/688,693.62 = 143,577.78/x
  3. Step 3: Cross multiply
    459,120.87x = 688,693.62 × 143,577.78
  4. Step 4: Simplify right side
    459,120.87x = 98,881,101,059.76
  5. Step 5: Solve for x
    x = 98,881,101,059.76/459,120.87
  6. Step 6: Final answer
    x = 215,370.52

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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.