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Finding the Fourth Proportional to 257,381.43, 386,120.64 and 97,505.25

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Solution

The fourth proportional to 257,381.43, 386,120.64 and 97,505.25 is: 146,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,381.43 : 386,120.64 = 97,505.25 : x
  2. Step 2: Convert to fraction form
    257,381.43/386,120.64 = 97,505.25/x
  3. Step 3: Cross multiply
    257,381.43x = 386,120.64 × 97,505.25
  4. Step 4: Simplify right side
    257,381.43x = 37,648,789,533.36
  5. Step 5: Solve for x
    x = 37,648,789,533.36/257,381.43
  6. Step 6: Final answer
    x = 146,276.25

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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.