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Finding the Fourth Proportional to 649,617.49, 896,435.77 and 359,212.24

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Solution

The fourth proportional to 649,617.49, 896,435.77 and 359,212.24 is: 495,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,617.49 : 896,435.77 = 359,212.24 : x
  2. Step 2: Convert to fraction form
    649,617.49/896,435.77 = 359,212.24/x
  3. Step 3: Cross multiply
    649,617.49x = 896,435.77 × 359,212.24
  4. Step 4: Simplify right side
    649,617.49x = 322,010,700,957.83
  5. Step 5: Solve for x
    x = 322,010,700,957.83/649,617.49
  6. Step 6: Final answer
    x = 495,692.78

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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.