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Finding the Fourth Proportional to 257,314.66, 386,009.15 and 97,347.22

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Solution

The fourth proportional to 257,314.66, 386,009.15 and 97,347.22 is: 146,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,314.66 : 386,009.15 = 97,347.22 : x
  2. Step 2: Convert to fraction form
    257,314.66/386,009.15 = 97,347.22/x
  3. Step 3: Cross multiply
    257,314.66x = 386,009.15 × 97,347.22
  4. Step 4: Simplify right side
    257,314.66x = 37,576,916,195.30
  5. Step 5: Solve for x
    x = 37,576,916,195.30/257,314.66
  6. Step 6: Final answer
    x = 146,034.88

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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.