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Finding the Fourth Proportional to 649,334.95, 896,069.01 and 358,958.76

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Solution

The fourth proportional to 649,334.95, 896,069.01 and 358,958.76 is: 495,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,334.95 : 896,069.01 = 358,958.76 : x
  2. Step 2: Convert to fraction form
    649,334.95/896,069.01 = 358,958.76/x
  3. Step 3: Cross multiply
    649,334.95x = 896,069.01 × 358,958.76
  4. Step 4: Simplify right side
    649,334.95x = 321,651,820,704.03
  5. Step 5: Solve for x
    x = 321,651,820,704.03/649,334.95
  6. Step 6: Final answer
    x = 495,355.78

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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.