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Finding the Fourth Proportional to 542,146.50, 748,178.57 and 300,406.46

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Solution

The fourth proportional to 542,146.50, 748,178.57 and 300,406.46 is: 414,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,146.50 : 748,178.57 = 300,406.46 : x
  2. Step 2: Convert to fraction form
    542,146.50/748,178.57 = 300,406.46/x
  3. Step 3: Cross multiply
    542,146.50x = 748,178.57 × 300,406.46
  4. Step 4: Simplify right side
    542,146.50x = 224,757,672,671.69
  5. Step 5: Solve for x
    x = 224,757,672,671.69/542,146.50
  6. Step 6: Final answer
    x = 414,570.00

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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.