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Finding the Fourth Proportional to 315,735.12, 435,839.13 and 194,925.24

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Solution

The fourth proportional to 315,735.12, 435,839.13 and 194,925.24 is: 269,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,735.12 : 435,839.13 = 194,925.24 : x
  2. Step 2: Convert to fraction form
    315,735.12/435,839.13 = 194,925.24/x
  3. Step 3: Cross multiply
    315,735.12x = 435,839.13 × 194,925.24
  4. Step 4: Simplify right side
    315,735.12x = 84,956,047,016.64
  5. Step 5: Solve for x
    x = 84,956,047,016.64/315,735.12
  6. Step 6: Final answer
    x = 269,073.80

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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.