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Finding the Fourth Proportional to 661,150, 912,387 and 392,878

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Solution

The fourth proportional to 661,150, 912,387 and 392,878 is: 542,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,150 : 912,387 = 392,878 : x
  2. Step 2: Convert to fraction form
    661,150/912,387 = 392,878/x
  3. Step 3: Cross multiply
    661,150x = 912,387 × 392,878
  4. Step 4: Simplify right side
    661,150x = 358,456,779,786
  5. Step 5: Solve for x
    x = 358,456,779,786/661,150
  6. Step 6: Final answer
    x = 542,171.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.