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Finding the Fourth Proportional to 495,753.54, 684,139.95 and 269,398.50

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Solution

The fourth proportional to 495,753.54, 684,139.95 and 269,398.50 is: 371,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,753.54 : 684,139.95 = 269,398.50 : x
  2. Step 2: Convert to fraction form
    495,753.54/684,139.95 = 269,398.50/x
  3. Step 3: Cross multiply
    495,753.54x = 684,139.95 × 269,398.50
  4. Step 4: Simplify right side
    495,753.54x = 184,306,276,320.08
  5. Step 5: Solve for x
    x = 184,306,276,320.08/495,753.54
  6. Step 6: Final answer
    x = 371,769.97

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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.