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Finding the Fourth Proportional to 459,087.60, 686,687.40 and 412,042.80

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Solution

The fourth proportional to 459,087.60, 686,687.40 and 412,042.80 is: 616,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,087.60 : 686,687.40 = 412,042.80 : x
  2. Step 2: Convert to fraction form
    459,087.60/686,687.40 = 412,042.80/x
  3. Step 3: Cross multiply
    459,087.60x = 686,687.40 × 412,042.80
  4. Step 4: Simplify right side
    459,087.60x = 282,944,599,020.72
  5. Step 5: Solve for x
    x = 282,944,599,020.72/459,087.60
  6. Step 6: Final answer
    x = 616,319.41

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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.