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Finding the Fourth Proportional to 388,082.08, 582,123.12 and 107,599.32

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Solution

The fourth proportional to 388,082.08, 582,123.12 and 107,599.32 is: 161,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,082.08 : 582,123.12 = 107,599.32 : x
  2. Step 2: Convert to fraction form
    388,082.08/582,123.12 = 107,599.32/x
  3. Step 3: Cross multiply
    388,082.08x = 582,123.12 × 107,599.32
  4. Step 4: Simplify right side
    388,082.08x = 62,636,051,868.28
  5. Step 5: Solve for x
    x = 62,636,051,868.28/388,082.08
  6. Step 6: Final answer
    x = 161,398.98

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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.