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Finding the Fourth Proportional to 387,211.69, 580,729.91 and 147,239.78

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Solution

The fourth proportional to 387,211.69, 580,729.91 and 147,239.78 is: 220,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,211.69 : 580,729.91 = 147,239.78 : x
  2. Step 2: Convert to fraction form
    387,211.69/580,729.91 = 147,239.78/x
  3. Step 3: Cross multiply
    387,211.69x = 580,729.91 × 147,239.78
  4. Step 4: Simplify right side
    387,211.69x = 85,506,540,547.97
  5. Step 5: Solve for x
    x = 85,506,540,547.97/387,211.69
  6. Step 6: Final answer
    x = 220,826.34

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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.