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Finding the Fourth Proportional to 542,700, 748,935.36 and 300,993.12

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Solution

The fourth proportional to 542,700, 748,935.36 and 300,993.12 is: 415,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,700 : 748,935.36 = 300,993.12 : x
  2. Step 2: Convert to fraction form
    542,700/748,935.36 = 300,993.12/x
  3. Step 3: Cross multiply
    542,700x = 748,935.36 × 300,993.12
  4. Step 4: Simplify right side
    542,700x = 225,424,390,684.72
  5. Step 5: Solve for x
    x = 225,424,390,684.72/542,700
  6. Step 6: Final answer
    x = 415,375.70

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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.