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Finding the Fourth Proportional to 495,761.04, 684,150.30 and 269,406

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Solution

The fourth proportional to 495,761.04, 684,150.30 and 269,406 is: 371,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,761.04 : 684,150.30 = 269,406 : x
  2. Step 2: Convert to fraction form
    495,761.04/684,150.30 = 269,406/x
  3. Step 3: Cross multiply
    495,761.04x = 684,150.30 × 269,406
  4. Step 4: Simplify right side
    495,761.04x = 184,314,195,721.80
  5. Step 5: Solve for x
    x = 184,314,195,721.80/495,761.04
  6. Step 6: Final answer
    x = 371,780.32

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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.