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Finding the Fourth Proportional to 257,691.51, 386,574.12 and 80,216.46

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Solution

The fourth proportional to 257,691.51, 386,574.12 and 80,216.46 is: 120,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,691.51 : 386,574.12 = 80,216.46 : x
  2. Step 2: Convert to fraction form
    257,691.51/386,574.12 = 80,216.46/x
  3. Step 3: Cross multiply
    257,691.51x = 386,574.12 × 80,216.46
  4. Step 4: Simplify right side
    257,691.51x = 31,009,607,434.02
  5. Step 5: Solve for x
    x = 31,009,607,434.02/257,691.51
  6. Step 6: Final answer
    x = 120,336.16

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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.