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Finding the Fourth Proportional to 266,089.76, 398,567.16 and 215,270.72

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Solution

The fourth proportional to 266,089.76, 398,567.16 and 215,270.72 is: 322,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,089.76 : 398,567.16 = 215,270.72 : x
  2. Step 2: Convert to fraction form
    266,089.76/398,567.16 = 215,270.72/x
  3. Step 3: Cross multiply
    266,089.76x = 398,567.16 × 215,270.72
  4. Step 4: Simplify right side
    266,089.76x = 85,799,839,501.56
  5. Step 5: Solve for x
    x = 85,799,839,501.56/266,089.76
  6. Step 6: Final answer
    x = 322,446.98

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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.