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Finding the Fourth Proportional to 393,310.72, 589,966.24 and 97,822.72

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Solution

The fourth proportional to 393,310.72, 589,966.24 and 97,822.72 is: 146,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,310.72 : 589,966.24 = 97,822.72 : x
  2. Step 2: Convert to fraction form
    393,310.72/589,966.24 = 97,822.72/x
  3. Step 3: Cross multiply
    393,310.72x = 589,966.24 × 97,822.72
  4. Step 4: Simplify right side
    393,310.72x = 57,712,102,304.97
  5. Step 5: Solve for x
    x = 57,712,102,304.97/393,310.72
  6. Step 6: Final answer
    x = 146,734.12

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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.