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Finding the Fourth Proportional to 252,256, 378,385.62 and 65,269.12

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Solution

The fourth proportional to 252,256, 378,385.62 and 65,269.12 is: 97,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,256 : 378,385.62 = 65,269.12 : x
  2. Step 2: Convert to fraction form
    252,256/378,385.62 = 65,269.12/x
  3. Step 3: Cross multiply
    252,256x = 378,385.62 × 65,269.12
  4. Step 4: Simplify right side
    252,256x = 24,696,896,438.05
  5. Step 5: Solve for x
    x = 24,696,896,438.05/252,256
  6. Step 6: Final answer
    x = 97,904.10

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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.