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Finding the Fourth Proportional to 266,459.82, 399,966.57 and 178,329.18

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Solution

The fourth proportional to 266,459.82, 399,966.57 and 178,329.18 is: 267,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,459.82 : 399,966.57 = 178,329.18 : x
  2. Step 2: Convert to fraction form
    266,459.82/399,966.57 = 178,329.18/x
  3. Step 3: Cross multiply
    266,459.82x = 399,966.57 × 178,329.18
  4. Step 4: Simplify right side
    266,459.82x = 71,325,710,455.51
  5. Step 5: Solve for x
    x = 71,325,710,455.51/266,459.82
  6. Step 6: Final answer
    x = 267,679.05

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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.