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Finding the Fourth Proportional to 585,838, 878,757.18 and 142,606

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Solution

The fourth proportional to 585,838, 878,757.18 and 142,606 is: 213,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,838 : 878,757.18 = 142,606 : x
  2. Step 2: Convert to fraction form
    585,838/878,757.18 = 142,606/x
  3. Step 3: Cross multiply
    585,838x = 878,757.18 × 142,606
  4. Step 4: Simplify right side
    585,838x = 125,316,046,411.08
  5. Step 5: Solve for x
    x = 125,316,046,411.08/585,838
  6. Step 6: Final answer
    x = 213,909.04

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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.