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Finding the Fourth Proportional to 484,955.10, 727,432.66 and 147,997.48

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Solution

The fourth proportional to 484,955.10, 727,432.66 and 147,997.48 is: 221,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,955.10 : 727,432.66 = 147,997.48 : x
  2. Step 2: Convert to fraction form
    484,955.10/727,432.66 = 147,997.48/x
  3. Step 3: Cross multiply
    484,955.10x = 727,432.66 × 147,997.48
  4. Step 4: Simplify right side
    484,955.10x = 107,658,197,991.13
  5. Step 5: Solve for x
    x = 107,658,197,991.13/484,955.10
  6. Step 6: Final answer
    x = 221,996.22

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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.