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Finding the Fourth Proportional to 450,892, 676,441.68 and 155,404

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Solution

The fourth proportional to 450,892, 676,441.68 and 155,404 is: 233,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,892 : 676,441.68 = 155,404 : x
  2. Step 2: Convert to fraction form
    450,892/676,441.68 = 155,404/x
  3. Step 3: Cross multiply
    450,892x = 676,441.68 × 155,404
  4. Step 4: Simplify right side
    450,892x = 105,121,742,838.72
  5. Step 5: Solve for x
    x = 105,121,742,838.72/450,892
  6. Step 6: Final answer
    x = 233,141.73

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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.