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Finding the Fourth Proportional to 542,438.58, 813,712.55 and 143,106.96

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Solution

The fourth proportional to 542,438.58, 813,712.55 and 143,106.96 is: 214,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,438.58 : 813,712.55 = 143,106.96 : x
  2. Step 2: Convert to fraction form
    542,438.58/813,712.55 = 143,106.96/x
  3. Step 3: Cross multiply
    542,438.58x = 813,712.55 × 143,106.96
  4. Step 4: Simplify right side
    542,438.58x = 116,447,928,628.81
  5. Step 5: Solve for x
    x = 116,447,928,628.81/542,438.58
  6. Step 6: Final answer
    x = 214,674.86

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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.