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Finding the Fourth Proportional to 261,809.20, 392,769.60 and 149,543.20

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Solution

The fourth proportional to 261,809.20, 392,769.60 and 149,543.20 is: 224,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,809.20 : 392,769.60 = 149,543.20 : x
  2. Step 2: Convert to fraction form
    261,809.20/392,769.60 = 149,543.20/x
  3. Step 3: Cross multiply
    261,809.20x = 392,769.60 × 149,543.20
  4. Step 4: Simplify right side
    261,809.20x = 58,736,022,846.72
  5. Step 5: Solve for x
    x = 58,736,022,846.72/261,809.20
  6. Step 6: Final answer
    x = 224,346.67

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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.