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Finding the Fourth Proportional to 418,116.87, 577,240.56 and 275,292

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Solution

The fourth proportional to 418,116.87, 577,240.56 and 275,292 is: 380,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,116.87 : 577,240.56 = 275,292 : x
  2. Step 2: Convert to fraction form
    418,116.87/577,240.56 = 275,292/x
  3. Step 3: Cross multiply
    418,116.87x = 577,240.56 × 275,292
  4. Step 4: Simplify right side
    418,116.87x = 158,909,708,243.52
  5. Step 5: Solve for x
    x = 158,909,708,243.52/418,116.87
  6. Step 6: Final answer
    x = 380,060.50

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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.