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Finding the Fourth Proportional to 542,353.49, 813,538.43 and 205,303.65

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Solution

The fourth proportional to 542,353.49, 813,538.43 and 205,303.65 is: 307,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,353.49 : 813,538.43 = 205,303.65 : x
  2. Step 2: Convert to fraction form
    542,353.49/813,538.43 = 205,303.65/x
  3. Step 3: Cross multiply
    542,353.49x = 813,538.43 × 205,303.65
  4. Step 4: Simplify right side
    542,353.49x = 167,022,406,941.70
  5. Step 5: Solve for x
    x = 167,022,406,941.70/542,353.49
  6. Step 6: Final answer
    x = 307,958.57

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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.