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Finding the Fourth Proportional to 266,765.28, 399,703.62 and 187,713.40

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Solution

The fourth proportional to 266,765.28, 399,703.62 and 187,713.40 is: 281,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,765.28 : 399,703.62 = 187,713.40 : x
  2. Step 2: Convert to fraction form
    266,765.28/399,703.62 = 187,713.40/x
  3. Step 3: Cross multiply
    266,765.28x = 399,703.62 × 187,713.40
  4. Step 4: Simplify right side
    266,765.28x = 75,029,725,502.51
  5. Step 5: Solve for x
    x = 75,029,725,502.51/266,765.28
  6. Step 6: Final answer
    x = 281,257.46

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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.