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Finding the Fourth Proportional to 385,847.90, 532,470.16 and 216,082.02

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Solution

The fourth proportional to 385,847.90, 532,470.16 and 216,082.02 is: 298,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,847.90 : 532,470.16 = 216,082.02 : x
  2. Step 2: Convert to fraction form
    385,847.90/532,470.16 = 216,082.02/x
  3. Step 3: Cross multiply
    385,847.90x = 532,470.16 × 216,082.02
  4. Step 4: Simplify right side
    385,847.90x = 115,057,227,762.52
  5. Step 5: Solve for x
    x = 115,057,227,762.52/385,847.90
  6. Step 6: Final answer
    x = 298,193.22

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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.