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Finding the Fourth Proportional to 257,456.40, 386,443.80 and 124,443.60

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Solution

The fourth proportional to 257,456.40, 386,443.80 and 124,443.60 is: 186,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,456.40 : 386,443.80 = 124,443.60 : x
  2. Step 2: Convert to fraction form
    257,456.40/386,443.80 = 124,443.60/x
  3. Step 3: Cross multiply
    257,456.40x = 386,443.80 × 124,443.60
  4. Step 4: Simplify right side
    257,456.40x = 48,090,457,669.68
  5. Step 5: Solve for x
    x = 48,090,457,669.68/257,456.40
  6. Step 6: Final answer
    x = 186,790.69

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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.