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Finding the Fourth Proportional to 512,641.98, 768,999.96 and 147,888.45

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Solution

The fourth proportional to 512,641.98, 768,999.96 and 147,888.45 is: 221,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,641.98 : 768,999.96 = 147,888.45 : x
  2. Step 2: Convert to fraction form
    512,641.98/768,999.96 = 147,888.45/x
  3. Step 3: Cross multiply
    512,641.98x = 768,999.96 × 147,888.45
  4. Step 4: Simplify right side
    512,641.98x = 113,726,212,134.46
  5. Step 5: Solve for x
    x = 113,726,212,134.46/512,641.98
  6. Step 6: Final answer
    x = 221,843.35

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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.