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Finding the Fourth Proportional to 307,979.64, 424,999.92 and 193,320.12

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Solution

The fourth proportional to 307,979.64, 424,999.92 and 193,320.12 is: 266,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,979.64 : 424,999.92 = 193,320.12 : x
  2. Step 2: Convert to fraction form
    307,979.64/424,999.92 = 193,320.12/x
  3. Step 3: Cross multiply
    307,979.64x = 424,999.92 × 193,320.12
  4. Step 4: Simplify right side
    307,979.64x = 82,161,035,534.39
  5. Step 5: Solve for x
    x = 82,161,035,534.39/307,979.64
  6. Step 6: Final answer
    x = 266,774.24

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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.