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Finding the Fourth Proportional to 390,082.68, 584,178.13 and 269,802.06

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Solution

The fourth proportional to 390,082.68, 584,178.13 and 269,802.06 is: 404,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,082.68 : 584,178.13 = 269,802.06 : x
  2. Step 2: Convert to fraction form
    390,082.68/584,178.13 = 269,802.06/x
  3. Step 3: Cross multiply
    390,082.68x = 584,178.13 × 269,802.06
  4. Step 4: Simplify right side
    390,082.68x = 157,612,462,880.95
  5. Step 5: Solve for x
    x = 157,612,462,880.95/390,082.68
  6. Step 6: Final answer
    x = 404,048.86

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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.