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Finding the Fourth Proportional to 390,415.92, 585,764.36 and 153,627.44

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Solution

The fourth proportional to 390,415.92, 585,764.36 and 153,627.44 is: 230,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,415.92 : 585,764.36 = 153,627.44 : x
  2. Step 2: Convert to fraction form
    390,415.92/585,764.36 = 153,627.44/x
  3. Step 3: Cross multiply
    390,415.92x = 585,764.36 × 153,627.44
  4. Step 4: Simplify right side
    390,415.92x = 89,989,479,070.04
  5. Step 5: Solve for x
    x = 89,989,479,070.04/390,415.92
  6. Step 6: Final answer
    x = 230,496.44

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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.