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Finding the Fourth Proportional to 665,640.80, 997,780.80 and 328,162.40

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Solution

The fourth proportional to 665,640.80, 997,780.80 and 328,162.40 is: 491,908.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,640.80 : 997,780.80 = 328,162.40 : x
  2. Step 2: Convert to fraction form
    665,640.80/997,780.80 = 328,162.40/x
  3. Step 3: Cross multiply
    665,640.80x = 997,780.80 × 328,162.40
  4. Step 4: Simplify right side
    665,640.80x = 327,434,142,001.92
  5. Step 5: Solve for x
    x = 327,434,142,001.92/665,640.80
  6. Step 6: Final answer
    x = 491,908.16

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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.