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Finding the Fourth Proportional to 338,565.52, 507,806.74 and 196,488.10

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Solution

The fourth proportional to 338,565.52, 507,806.74 and 196,488.10 is: 294,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,565.52 : 507,806.74 = 196,488.10 : x
  2. Step 2: Convert to fraction form
    338,565.52/507,806.74 = 196,488.10/x
  3. Step 3: Cross multiply
    338,565.52x = 507,806.74 × 196,488.10
  4. Step 4: Simplify right side
    338,565.52x = 99,777,981,509.79
  5. Step 5: Solve for x
    x = 99,777,981,509.79/338,565.52
  6. Step 6: Final answer
    x = 294,708.04

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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.