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Finding the Fourth Proportional to 309,670.16, 427,344.52 and 175,534.16

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Solution

The fourth proportional to 309,670.16, 427,344.52 and 175,534.16 is: 242,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,670.16 : 427,344.52 = 175,534.16 : x
  2. Step 2: Convert to fraction form
    309,670.16/427,344.52 = 175,534.16/x
  3. Step 3: Cross multiply
    309,670.16x = 427,344.52 × 175,534.16
  4. Step 4: Simplify right side
    309,670.16x = 75,013,561,348.80
  5. Step 5: Solve for x
    x = 75,013,561,348.80/309,670.16
  6. Step 6: Final answer
    x = 242,236.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.