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Finding the Fourth Proportional to 499,129.76, 748,270.32 and 218,437.28

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Solution

The fourth proportional to 499,129.76, 748,270.32 and 218,437.28 is: 327,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,129.76 : 748,270.32 = 218,437.28 : x
  2. Step 2: Convert to fraction form
    499,129.76/748,270.32 = 218,437.28/x
  3. Step 3: Cross multiply
    499,129.76x = 748,270.32 × 218,437.28
  4. Step 4: Simplify right side
    499,129.76x = 163,450,133,405.53
  5. Step 5: Solve for x
    x = 163,450,133,405.53/499,129.76
  6. Step 6: Final answer
    x = 327,470.22

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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.