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Finding the Fourth Proportional to 253,505.76, 382,038.10 and 228,230.52

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Solution

The fourth proportional to 253,505.76, 382,038.10 and 228,230.52 is: 343,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,505.76 : 382,038.10 = 228,230.52 : x
  2. Step 2: Convert to fraction form
    253,505.76/382,038.10 = 228,230.52/x
  3. Step 3: Cross multiply
    253,505.76x = 382,038.10 × 228,230.52
  4. Step 4: Simplify right side
    253,505.76x = 87,192,753,652.24
  5. Step 5: Solve for x
    x = 87,192,753,652.24/253,505.76
  6. Step 6: Final answer
    x = 343,947.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.