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Finding the Fourth Proportional to 266,236.30, 399,463.80 and 97,837.30

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Solution

The fourth proportional to 266,236.30, 399,463.80 and 97,837.30 is: 146,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,236.30 : 399,463.80 = 97,837.30 : x
  2. Step 2: Convert to fraction form
    266,236.30/399,463.80 = 97,837.30/x
  3. Step 3: Cross multiply
    266,236.30x = 399,463.80 × 97,837.30
  4. Step 4: Simplify right side
    266,236.30x = 39,082,459,639.74
  5. Step 5: Solve for x
    x = 39,082,459,639.74/266,236.30
  6. Step 6: Final answer
    x = 146,796.13

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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.