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Finding the Fourth Proportional to 266,101.78, 399,328.96 and 146,242.43

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Solution

The fourth proportional to 266,101.78, 399,328.96 and 146,242.43 is: 219,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,101.78 : 399,328.96 = 146,242.43 : x
  2. Step 2: Convert to fraction form
    266,101.78/399,328.96 = 146,242.43/x
  3. Step 3: Cross multiply
    266,101.78x = 399,328.96 × 146,242.43
  4. Step 4: Simplify right side
    266,101.78x = 58,398,837,479.77
  5. Step 5: Solve for x
    x = 58,398,837,479.77/266,101.78
  6. Step 6: Final answer
    x = 219,460.53

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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.