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Finding the Fourth Proportional to 477,200.80, 715,806.15 and 140,247.46

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Solution

The fourth proportional to 477,200.80, 715,806.15 and 140,247.46 is: 210,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,200.80 : 715,806.15 = 140,247.46 : x
  2. Step 2: Convert to fraction form
    477,200.80/715,806.15 = 140,247.46/x
  3. Step 3: Cross multiply
    477,200.80x = 715,806.15 × 140,247.46
  4. Step 4: Simplify right side
    477,200.80x = 100,389,994,389.88
  5. Step 5: Solve for x
    x = 100,389,994,389.88/477,200.80
  6. Step 6: Final answer
    x = 210,372.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.