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Finding the Fourth Proportional to 390,414.92, 585,762.86 and 153,626.44

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Solution

The fourth proportional to 390,414.92, 585,762.86 and 153,626.44 is: 230,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,414.92 : 585,762.86 = 153,626.44 : x
  2. Step 2: Convert to fraction form
    390,414.92/585,762.86 = 153,626.44/x
  3. Step 3: Cross multiply
    390,414.92x = 585,762.86 × 153,626.44
  4. Step 4: Simplify right side
    390,414.92x = 89,988,662,866.02
  5. Step 5: Solve for x
    x = 89,988,662,866.02/390,414.92
  6. Step 6: Final answer
    x = 230,494.94

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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.