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Finding the Fourth Proportional to 320,337.30, 480,510.60 and 83,680

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Solution

The fourth proportional to 320,337.30, 480,510.60 and 83,680 is: 125,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,337.30 : 480,510.60 = 83,680 : x
  2. Step 2: Convert to fraction form
    320,337.30/480,510.60 = 83,680/x
  3. Step 3: Cross multiply
    320,337.30x = 480,510.60 × 83,680
  4. Step 4: Simplify right side
    320,337.30x = 40,209,127,008
  5. Step 5: Solve for x
    x = 40,209,127,008/320,337.30
  6. Step 6: Final answer
    x = 125,521.21

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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.