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Finding the Fourth Proportional to 553,127.55, 829,863.55 and 198,144.64

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Solution

The fourth proportional to 553,127.55, 829,863.55 and 198,144.64 is: 297,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,127.55 : 829,863.55 = 198,144.64 : x
  2. Step 2: Convert to fraction form
    553,127.55/829,863.55 = 198,144.64/x
  3. Step 3: Cross multiply
    553,127.55x = 829,863.55 × 198,144.64
  4. Step 4: Simplify right side
    553,127.55x = 164,433,015,648.88
  5. Step 5: Solve for x
    x = 164,433,015,648.88/553,127.55
  6. Step 6: Final answer
    x = 297,278.66

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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.