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Finding the Fourth Proportional to 542,350.42, 813,530.50 and 143,047.96

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Solution

The fourth proportional to 542,350.42, 813,530.50 and 143,047.96 is: 214,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,350.42 : 813,530.50 = 143,047.96 : x
  2. Step 2: Convert to fraction form
    542,350.42/813,530.50 = 143,047.96/x
  3. Step 3: Cross multiply
    542,350.42x = 813,530.50 × 143,047.96
  4. Step 4: Simplify right side
    542,350.42x = 116,373,878,422.78
  5. Step 5: Solve for x
    x = 116,373,878,422.78/542,350.42
  6. Step 6: Final answer
    x = 214,573.22

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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.