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Finding the Fourth Proportional to 648,003.90, 972,005.85 and 198,721.20

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Solution

The fourth proportional to 648,003.90, 972,005.85 and 198,721.20 is: 298,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,003.90 : 972,005.85 = 198,721.20 : x
  2. Step 2: Convert to fraction form
    648,003.90/972,005.85 = 198,721.20/x
  3. Step 3: Cross multiply
    648,003.90x = 972,005.85 × 198,721.20
  4. Step 4: Simplify right side
    648,003.90x = 193,158,168,919.02
  5. Step 5: Solve for x
    x = 193,158,168,919.02/648,003.90
  6. Step 6: Final answer
    x = 298,081.80

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Similar ratio
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1.5x scale

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.