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Finding the Fourth Proportional to 517,787.67, 714,178.90 and 345,618.82

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Solution

The fourth proportional to 517,787.67, 714,178.90 and 345,618.82 is: 476,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,787.67 : 714,178.90 = 345,618.82 : x
  2. Step 2: Convert to fraction form
    517,787.67/714,178.90 = 345,618.82/x
  3. Step 3: Cross multiply
    517,787.67x = 714,178.90 × 345,618.82
  4. Step 4: Simplify right side
    517,787.67x = 246,833,668,686.90
  5. Step 5: Solve for x
    x = 246,833,668,686.90/517,787.67
  6. Step 6: Final answer
    x = 476,708.28

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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.