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Finding the Fourth Proportional to 320,363.70, 480,509.10 and 83,730.30

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Solution

The fourth proportional to 320,363.70, 480,509.10 and 83,730.30 is: 125,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,363.70 : 480,509.10 = 83,730.30 : x
  2. Step 2: Convert to fraction form
    320,363.70/480,509.10 = 83,730.30/x
  3. Step 3: Cross multiply
    320,363.70x = 480,509.10 × 83,730.30
  4. Step 4: Simplify right side
    320,363.70x = 40,233,171,095.73
  5. Step 5: Solve for x
    x = 40,233,171,095.73/320,363.70
  6. Step 6: Final answer
    x = 125,585.92

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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.