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Finding the Fourth Proportional to 484,948.80, 727,423.20 and 147,988.80

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Solution

The fourth proportional to 484,948.80, 727,423.20 and 147,988.80 is: 221,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,948.80 : 727,423.20 = 147,988.80 : x
  2. Step 2: Convert to fraction form
    484,948.80/727,423.20 = 147,988.80/x
  3. Step 3: Cross multiply
    484,948.80x = 727,423.20 × 147,988.80
  4. Step 4: Simplify right side
    484,948.80x = 107,650,486,460.16
  5. Step 5: Solve for x
    x = 107,650,486,460.16/484,948.80
  6. Step 6: Final answer
    x = 221,983.20

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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.