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Finding the Fourth Proportional to 614,381.76, 847,896.12 and 342,537.66

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Solution

The fourth proportional to 614,381.76, 847,896.12 and 342,537.66 is: 472,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,381.76 : 847,896.12 = 342,537.66 : x
  2. Step 2: Convert to fraction form
    614,381.76/847,896.12 = 342,537.66/x
  3. Step 3: Cross multiply
    614,381.76x = 847,896.12 × 342,537.66
  4. Step 4: Simplify right side
    614,381.76x = 290,436,352,867.88
  5. Step 5: Solve for x
    x = 290,436,352,867.88/614,381.76
  6. Step 6: Final answer
    x = 472,729.45

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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.