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Finding the Fourth Proportional to 819,797.20, 1,131,127.50 and 497,500

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Solution

The fourth proportional to 819,797.20, 1,131,127.50 and 497,500 is: 686,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,797.20 : 1,131,127.50 = 497,500 : x
  2. Step 2: Convert to fraction form
    819,797.20/1,131,127.50 = 497,500/x
  3. Step 3: Cross multiply
    819,797.20x = 1,131,127.50 × 497,500
  4. Step 4: Simplify right side
    819,797.20x = 562,735,931,250
  5. Step 5: Solve for x
    x = 562,735,931,250/819,797.20
  6. Step 6: Final answer
    x = 686,433.10

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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.