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Finding the Fourth Proportional to 542,437.83, 813,711.42 and 143,106.21

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Solution

The fourth proportional to 542,437.83, 813,711.42 and 143,106.21 is: 214,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,437.83 : 813,711.42 = 143,106.21 : x
  2. Step 2: Convert to fraction form
    542,437.83/813,711.42 = 143,106.21/x
  3. Step 3: Cross multiply
    542,437.83x = 813,711.42 × 143,106.21
  4. Step 4: Simplify right side
    542,437.83x = 116,447,157,349.92
  5. Step 5: Solve for x
    x = 116,447,157,349.92/542,437.83
  6. Step 6: Final answer
    x = 214,673.74

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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.