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Finding the Fourth Proportional to 536,931.68, 805,378.92 and 137,575.76

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Solution

The fourth proportional to 536,931.68, 805,378.92 and 137,575.76 is: 206,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,931.68 : 805,378.92 = 137,575.76 : x
  2. Step 2: Convert to fraction form
    536,931.68/805,378.92 = 137,575.76/x
  3. Step 3: Cross multiply
    536,931.68x = 805,378.92 × 137,575.76
  4. Step 4: Simplify right side
    536,931.68x = 110,800,617,006.98
  5. Step 5: Solve for x
    x = 110,800,617,006.98/536,931.68
  6. Step 6: Final answer
    x = 206,358.87

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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.