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Finding the Fourth Proportional to 477,391.36, 716,086.80 and 227,315.20

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Solution

The fourth proportional to 477,391.36, 716,086.80 and 227,315.20 is: 340,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,391.36 : 716,086.80 = 227,315.20 : x
  2. Step 2: Convert to fraction form
    477,391.36/716,086.80 = 227,315.20/x
  3. Step 3: Cross multiply
    477,391.36x = 716,086.80 × 227,315.20
  4. Step 4: Simplify right side
    477,391.36x = 162,777,414,159.36
  5. Step 5: Solve for x
    x = 162,777,414,159.36/477,391.36
  6. Step 6: Final answer
    x = 340,972.69

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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.