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Finding the Fourth Proportional to 585,458, 878,189.16 and 142,226

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Solution

The fourth proportional to 585,458, 878,189.16 and 142,226 is: 213,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,458 : 878,189.16 = 142,226 : x
  2. Step 2: Convert to fraction form
    585,458/878,189.16 = 142,226/x
  3. Step 3: Cross multiply
    585,458x = 878,189.16 × 142,226
  4. Step 4: Simplify right side
    585,458x = 124,901,331,470.16
  5. Step 5: Solve for x
    x = 124,901,331,470.16/585,458
  6. Step 6: Final answer
    x = 213,339.52

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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.