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Finding the Fourth Proportional to 228,385.28, 342,969.92 and 140,156.80

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Solution

The fourth proportional to 228,385.28, 342,969.92 and 140,156.80 is: 210,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,385.28 : 342,969.92 = 140,156.80 : x
  2. Step 2: Convert to fraction form
    228,385.28/342,969.92 = 140,156.80/x
  3. Step 3: Cross multiply
    228,385.28x = 342,969.92 × 140,156.80
  4. Step 4: Simplify right side
    228,385.28x = 48,069,566,483.46
  5. Step 5: Solve for x
    x = 48,069,566,483.46/228,385.28
  6. Step 6: Final answer
    x = 210,475.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.