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Finding the Fourth Proportional to 542,630.19, 813,834.45 and 205,554.63

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Solution

The fourth proportional to 542,630.19, 813,834.45 and 205,554.63 is: 308,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,630.19 : 813,834.45 = 205,554.63 : x
  2. Step 2: Convert to fraction form
    542,630.19/813,834.45 = 205,554.63/x
  3. Step 3: Cross multiply
    542,630.19x = 813,834.45 × 205,554.63
  4. Step 4: Simplify right side
    542,630.19x = 167,287,439,251.00
  5. Step 5: Solve for x
    x = 167,287,439,251.00/542,630.19
  6. Step 6: Final answer
    x = 308,289.96

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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.