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Finding the Fourth Proportional to 402,687.14, 604,016.73 and 103,170.20

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Solution

The fourth proportional to 402,687.14, 604,016.73 and 103,170.20 is: 154,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,687.14 : 604,016.73 = 103,170.20 : x
  2. Step 2: Convert to fraction form
    402,687.14/604,016.73 = 103,170.20/x
  3. Step 3: Cross multiply
    402,687.14x = 604,016.73 × 103,170.20
  4. Step 4: Simplify right side
    402,687.14x = 62,316,523,817.36
  5. Step 5: Solve for x
    x = 62,316,523,817.36/402,687.14
  6. Step 6: Final answer
    x = 154,751.71

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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.