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Finding the Fourth Proportional to 342,331.20, 513,496.80 and 320,023.80

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Solution

The fourth proportional to 342,331.20, 513,496.80 and 320,023.80 is: 480,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,331.20 : 513,496.80 = 320,023.80 : x
  2. Step 2: Convert to fraction form
    342,331.20/513,496.80 = 320,023.80/x
  3. Step 3: Cross multiply
    342,331.20x = 513,496.80 × 320,023.80
  4. Step 4: Simplify right side
    342,331.20x = 164,331,197,223.84
  5. Step 5: Solve for x
    x = 164,331,197,223.84/342,331.20
  6. Step 6: Final answer
    x = 480,035.70

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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.