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Finding the Fourth Proportional to 392,841.70, 542,122.23 and 223,075.78

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Solution

The fourth proportional to 392,841.70, 542,122.23 and 223,075.78 is: 307,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,841.70 : 542,122.23 = 223,075.78 : x
  2. Step 2: Convert to fraction form
    392,841.70/542,122.23 = 223,075.78/x
  3. Step 3: Cross multiply
    392,841.70x = 542,122.23 × 223,075.78
  4. Step 4: Simplify right side
    392,841.70x = 120,934,339,312.59
  5. Step 5: Solve for x
    x = 120,934,339,312.59/392,841.70
  6. Step 6: Final answer
    x = 307,844.96

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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.