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Finding the Fourth Proportional to 613,934.19, 847,255.31 and 342,001.76

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Solution

The fourth proportional to 613,934.19, 847,255.31 and 342,001.76 is: 471,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,934.19 : 847,255.31 = 342,001.76 : x
  2. Step 2: Convert to fraction form
    613,934.19/847,255.31 = 342,001.76/x
  3. Step 3: Cross multiply
    613,934.19x = 847,255.31 × 342,001.76
  4. Step 4: Simplify right side
    613,934.19x = 289,762,801,243.06
  5. Step 5: Solve for x
    x = 289,762,801,243.06/613,934.19
  6. Step 6: Final answer
    x = 471,976.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.