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Finding the Fourth Proportional to 502,787.36, 754,310.64 and 147,812.96

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Solution

The fourth proportional to 502,787.36, 754,310.64 and 147,812.96 is: 221,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,787.36 : 754,310.64 = 147,812.96 : x
  2. Step 2: Convert to fraction form
    502,787.36/754,310.64 = 147,812.96/x
  3. Step 3: Cross multiply
    502,787.36x = 754,310.64 × 147,812.96
  4. Step 4: Simplify right side
    502,787.36x = 111,496,888,457.89
  5. Step 5: Solve for x
    x = 111,496,888,457.89/502,787.36
  6. Step 6: Final answer
    x = 221,757.54

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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.