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Finding the Fourth Proportional to 320,023.85, 480,034.04 and 130,483.48

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Solution

The fourth proportional to 320,023.85, 480,034.04 and 130,483.48 is: 195,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,023.85 : 480,034.04 = 130,483.48 : x
  2. Step 2: Convert to fraction form
    320,023.85/480,034.04 = 130,483.48/x
  3. Step 3: Cross multiply
    320,023.85x = 480,034.04 × 130,483.48
  4. Step 4: Simplify right side
    320,023.85x = 62,636,512,057.66
  5. Step 5: Solve for x
    x = 62,636,512,057.66/320,023.85
  6. Step 6: Final answer
    x = 195,724.51

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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.