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Finding the Fourth Proportional to 402,641.68, 603,519.64 and 165,855.19

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Solution

The fourth proportional to 402,641.68, 603,519.64 and 165,855.19 is: 248,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,641.68 : 603,519.64 = 165,855.19 : x
  2. Step 2: Convert to fraction form
    402,641.68/603,519.64 = 165,855.19/x
  3. Step 3: Cross multiply
    402,641.68x = 603,519.64 × 165,855.19
  4. Step 4: Simplify right side
    402,641.68x = 100,096,864,560.93
  5. Step 5: Solve for x
    x = 100,096,864,560.93/402,641.68
  6. Step 6: Final answer
    x = 248,600.35

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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.