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Finding the Fourth Proportional to 402,687.12, 604,016.70 and 103,170.18

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Solution

The fourth proportional to 402,687.12, 604,016.70 and 103,170.18 is: 154,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,687.12 : 604,016.70 = 103,170.18 : x
  2. Step 2: Convert to fraction form
    402,687.12/604,016.70 = 103,170.18/x
  3. Step 3: Cross multiply
    402,687.12x = 604,016.70 × 103,170.18
  4. Step 4: Simplify right side
    402,687.12x = 62,316,511,662.01
  5. Step 5: Solve for x
    x = 62,316,511,662.01/402,687.12
  6. Step 6: Final answer
    x = 154,751.69

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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.