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Finding the Fourth Proportional to 542,711.64, 814,106.65 and 143,347.22

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Solution

The fourth proportional to 542,711.64, 814,106.65 and 143,347.22 is: 215,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,711.64 : 814,106.65 = 143,347.22 : x
  2. Step 2: Convert to fraction form
    542,711.64/814,106.65 = 143,347.22/x
  3. Step 3: Cross multiply
    542,711.64x = 814,106.65 × 143,347.22
  4. Step 4: Simplify right side
    542,711.64x = 116,699,923,953.79
  5. Step 5: Solve for x
    x = 116,699,923,953.79/542,711.64
  6. Step 6: Final answer
    x = 215,031.18

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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.