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Finding the Fourth Proportional to 498,281.50, 687,628.28 and 271,927

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Solution

The fourth proportional to 498,281.50, 687,628.28 and 271,927 is: 375,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,281.50 : 687,628.28 = 271,927 : x
  2. Step 2: Convert to fraction form
    498,281.50/687,628.28 = 271,927/x
  3. Step 3: Cross multiply
    498,281.50x = 687,628.28 × 271,927
  4. Step 4: Simplify right side
    498,281.50x = 186,984,695,295.56
  5. Step 5: Solve for x
    x = 186,984,695,295.56/498,281.50
  6. Step 6: Final answer
    x = 375,259.16

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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.