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Finding the Fourth Proportional to 459,128.88, 688,705.64 and 143,585.80

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Solution

The fourth proportional to 459,128.88, 688,705.64 and 143,585.80 is: 215,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,128.88 : 688,705.64 = 143,585.80 : x
  2. Step 2: Convert to fraction form
    459,128.88/688,705.64 = 143,585.80/x
  3. Step 3: Cross multiply
    459,128.88x = 688,705.64 × 143,585.80
  4. Step 4: Simplify right side
    459,128.88x = 98,888,350,283.91
  5. Step 5: Solve for x
    x = 98,888,350,283.91/459,128.88
  6. Step 6: Final answer
    x = 215,382.55

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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.