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Finding the Fourth Proportional to 390,225.78, 585,329.54 and 179,863.72

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Solution

The fourth proportional to 390,225.78, 585,329.54 and 179,863.72 is: 269,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,225.78 : 585,329.54 = 179,863.72 : x
  2. Step 2: Convert to fraction form
    390,225.78/585,329.54 = 179,863.72/x
  3. Step 3: Cross multiply
    390,225.78x = 585,329.54 × 179,863.72
  4. Step 4: Simplify right side
    390,225.78x = 105,279,548,490.29
  5. Step 5: Solve for x
    x = 105,279,548,490.29/390,225.78
  6. Step 6: Final answer
    x = 269,791.37

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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.