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Finding the Fourth Proportional to 390,082.18, 584,177.38 and 269,801.56

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Solution

The fourth proportional to 390,082.18, 584,177.38 and 269,801.56 is: 404,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,082.18 : 584,177.38 = 269,801.56 : x
  2. Step 2: Convert to fraction form
    390,082.18/584,177.38 = 269,801.56/x
  3. Step 3: Cross multiply
    390,082.18x = 584,177.38 × 269,801.56
  4. Step 4: Simplify right side
    390,082.18x = 157,611,968,440.71
  5. Step 5: Solve for x
    x = 157,611,968,440.71/390,082.18
  6. Step 6: Final answer
    x = 404,048.11

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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.