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Finding the Fourth Proportional to 342,671.28, 513,667.85 and 162,440.15

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Solution

The fourth proportional to 342,671.28, 513,667.85 and 162,440.15 is: 243,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,671.28 : 513,667.85 = 162,440.15 : x
  2. Step 2: Convert to fraction form
    342,671.28/513,667.85 = 162,440.15/x
  3. Step 3: Cross multiply
    342,671.28x = 513,667.85 × 162,440.15
  4. Step 4: Simplify right side
    342,671.28x = 83,440,279,223.64
  5. Step 5: Solve for x
    x = 83,440,279,223.64/342,671.28
  6. Step 6: Final answer
    x = 243,499.48

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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.