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Finding the Fourth Proportional to 465,187.52, 642,042.56 and 274,189.76

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Solution

The fourth proportional to 465,187.52, 642,042.56 and 274,189.76 is: 378,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,187.52 : 642,042.56 = 274,189.76 : x
  2. Step 2: Convert to fraction form
    465,187.52/642,042.56 = 274,189.76/x
  3. Step 3: Cross multiply
    465,187.52x = 642,042.56 × 274,189.76
  4. Step 4: Simplify right side
    465,187.52x = 176,041,495,436.19
  5. Step 5: Solve for x
    x = 176,041,495,436.19/465,187.52
  6. Step 6: Final answer
    x = 378,431.25

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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.