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Finding the Fourth Proportional to 610,468.80, 915,842.40 and 189,787.20

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Solution

The fourth proportional to 610,468.80, 915,842.40 and 189,787.20 is: 284,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,468.80 : 915,842.40 = 189,787.20 : x
  2. Step 2: Convert to fraction form
    610,468.80/915,842.40 = 189,787.20/x
  3. Step 3: Cross multiply
    610,468.80x = 915,842.40 × 189,787.20
  4. Step 4: Simplify right side
    610,468.80x = 173,815,164,737.28
  5. Step 5: Solve for x
    x = 173,815,164,737.28/610,468.80
  6. Step 6: Final answer
    x = 284,724.08

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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.