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Finding the Fourth Proportional to 390,180.96, 585,272.19 and 150,407.77

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Solution

The fourth proportional to 390,180.96, 585,272.19 and 150,407.77 is: 225,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,180.96 : 585,272.19 = 150,407.77 : x
  2. Step 2: Convert to fraction form
    390,180.96/585,272.19 = 150,407.77/x
  3. Step 3: Cross multiply
    390,180.96x = 585,272.19 × 150,407.77
  4. Step 4: Simplify right side
    390,180.96x = 88,029,485,108.48
  5. Step 5: Solve for x
    x = 88,029,485,108.48/390,180.96
  6. Step 6: Final answer
    x = 225,611.94

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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.