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Finding the Fourth Proportional to 512,521.63, 768,855.95 and 157,565.45

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Solution

The fourth proportional to 512,521.63, 768,855.95 and 157,565.45 is: 236,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,521.63 : 768,855.95 = 157,565.45 : x
  2. Step 2: Convert to fraction form
    512,521.63/768,855.95 = 157,565.45/x
  3. Step 3: Cross multiply
    512,521.63x = 768,855.95 × 157,565.45
  4. Step 4: Simplify right side
    512,521.63x = 121,145,135,472.11
  5. Step 5: Solve for x
    x = 121,145,135,472.11/512,521.63
  6. Step 6: Final answer
    x = 236,370.78

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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.