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Finding the Fourth Proportional to 477,771.96, 716,543.12 and 140,721.55

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Solution

The fourth proportional to 477,771.96, 716,543.12 and 140,721.55 is: 211,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,771.96 : 716,543.12 = 140,721.55 : x
  2. Step 2: Convert to fraction form
    477,771.96/716,543.12 = 140,721.55/x
  3. Step 3: Cross multiply
    477,771.96x = 716,543.12 × 140,721.55
  4. Step 4: Simplify right side
    477,771.96x = 100,833,057,048.68
  5. Step 5: Solve for x
    x = 100,833,057,048.68/477,771.96
  6. Step 6: Final answer
    x = 211,048.50

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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.