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Finding the Fourth Proportional to 198,490,832.40, 278,174,143.50 and 198,490,832.40

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Solution

The fourth proportional to 198,490,832.40, 278,174,143.50 and 198,490,832.40 is: 278,174,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,490,832.40 : 278,174,143.50 = 198,490,832.40 : x
  2. Step 2: Convert to fraction form
    198,490,832.40/278,174,143.50 = 198,490,832.40/x
  3. Step 3: Cross multiply
    198,490,832.40x = 278,174,143.50 × 198,490,832.40
  4. Step 4: Simplify right side
    198,490,832.40x = 55,215,017,295,472,048
  5. Step 5: Solve for x
    x = 55,215,017,295,472,048/198,490,832.40
  6. Step 6: Final answer
    x = 278,174,143.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.