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Finding the Fourth Proportional to 542,282.70, 812,646.45 and 399,009.90

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Solution

The fourth proportional to 542,282.70, 812,646.45 and 399,009.90 is: 597,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,282.70 : 812,646.45 = 399,009.90 : x
  2. Step 2: Convert to fraction form
    542,282.70/812,646.45 = 399,009.90/x
  3. Step 3: Cross multiply
    542,282.70x = 812,646.45 × 399,009.90
  4. Step 4: Simplify right side
    542,282.70x = 324,253,978,749.86
  5. Step 5: Solve for x
    x = 324,253,978,749.86/542,282.70
  6. Step 6: Final answer
    x = 597,942.69

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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.