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Finding the Fourth Proportional to 553,641.40, 830,462.10 and 198,691.30

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Solution

The fourth proportional to 553,641.40, 830,462.10 and 198,691.30 is: 298,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,641.40 : 830,462.10 = 198,691.30 : x
  2. Step 2: Convert to fraction form
    553,641.40/830,462.10 = 198,691.30/x
  3. Step 3: Cross multiply
    553,641.40x = 830,462.10 × 198,691.30
  4. Step 4: Simplify right side
    553,641.40x = 165,005,594,249.73
  5. Step 5: Solve for x
    x = 165,005,594,249.73/553,641.40
  6. Step 6: Final answer
    x = 298,036.95

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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.