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Finding the Fourth Proportional to 257,864.40, 386,796.60 and 187,005.60

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Solution

The fourth proportional to 257,864.40, 386,796.60 and 187,005.60 is: 280,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,864.40 : 386,796.60 = 187,005.60 : x
  2. Step 2: Convert to fraction form
    257,864.40/386,796.60 = 187,005.60/x
  3. Step 3: Cross multiply
    257,864.40x = 386,796.60 × 187,005.60
  4. Step 4: Simplify right side
    257,864.40x = 72,333,130,260.96
  5. Step 5: Solve for x
    x = 72,333,130,260.96/257,864.40
  6. Step 6: Final answer
    x = 280,508.40

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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.