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Finding the Fourth Proportional to 432,080.20, 648,120.30 and 392,681.80

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Solution

The fourth proportional to 432,080.20, 648,120.30 and 392,681.80 is: 589,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,080.20 : 648,120.30 = 392,681.80 : x
  2. Step 2: Convert to fraction form
    432,080.20/648,120.30 = 392,681.80/x
  3. Step 3: Cross multiply
    432,080.20x = 648,120.30 × 392,681.80
  4. Step 4: Simplify right side
    432,080.20x = 254,505,046,020.54
  5. Step 5: Solve for x
    x = 254,505,046,020.54/432,080.20
  6. Step 6: Final answer
    x = 589,022.70

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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.