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Finding the Fourth Proportional to 498,423.20, 747,807.60 and 218,141.60

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Solution

The fourth proportional to 498,423.20, 747,807.60 and 218,141.60 is: 327,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,423.20 : 747,807.60 = 218,141.60 : x
  2. Step 2: Convert to fraction form
    498,423.20/747,807.60 = 218,141.60/x
  3. Step 3: Cross multiply
    498,423.20x = 747,807.60 × 218,141.60
  4. Step 4: Simplify right side
    498,423.20x = 163,127,946,356.16
  5. Step 5: Solve for x
    x = 163,127,946,356.16/498,423.20
  6. Step 6: Final answer
    x = 327,288.03

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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.