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Finding the Fourth Proportional to 512,493.32, 768,813.48 and 157,537.14

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Solution

The fourth proportional to 512,493.32, 768,813.48 and 157,537.14 is: 236,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,493.32 : 768,813.48 = 157,537.14 : x
  2. Step 2: Convert to fraction form
    512,493.32/768,813.48 = 157,537.14/x
  3. Step 3: Cross multiply
    512,493.32x = 768,813.48 × 157,537.14
  4. Step 4: Simplify right side
    512,493.32x = 121,116,676,832.65
  5. Step 5: Solve for x
    x = 121,116,676,832.65/512,493.32
  6. Step 6: Final answer
    x = 236,328.31

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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.