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Finding the Fourth Proportional to 408,053.40, 612,080.10 and 141,840.83

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Solution

The fourth proportional to 408,053.40, 612,080.10 and 141,840.83 is: 212,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.40 : 612,080.10 = 141,840.83 : x
  2. Step 2: Convert to fraction form
    408,053.40/612,080.10 = 141,840.83/x
  3. Step 3: Cross multiply
    408,053.40x = 612,080.10 × 141,840.83
  4. Step 4: Simplify right side
    408,053.40x = 86,817,946,350.08
  5. Step 5: Solve for x
    x = 86,817,946,350.08/408,053.40
  6. Step 6: Final answer
    x = 212,761.24

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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.