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Finding the Fourth Proportional to 614,340.78, 847,754.91 and 342,399.66

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Solution

The fourth proportional to 614,340.78, 847,754.91 and 342,399.66 is: 472,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,340.78 : 847,754.91 = 342,399.66 : x
  2. Step 2: Convert to fraction form
    614,340.78/847,754.91 = 342,399.66/x
  3. Step 3: Cross multiply
    614,340.78x = 847,754.91 × 342,399.66
  4. Step 4: Simplify right side
    614,340.78x = 290,270,992,947.33
  5. Step 5: Solve for x
    x = 290,270,992,947.33/614,340.78
  6. Step 6: Final answer
    x = 472,491.82

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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.