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Finding the Fourth Proportional to 511,887.86, 767,503.70 and 212,575.04

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Solution

The fourth proportional to 511,887.86, 767,503.70 and 212,575.04 is: 318,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,887.86 : 767,503.70 = 212,575.04 : x
  2. Step 2: Convert to fraction form
    511,887.86/767,503.70 = 212,575.04/x
  3. Step 3: Cross multiply
    511,887.86x = 767,503.70 × 212,575.04
  4. Step 4: Simplify right side
    511,887.86x = 163,152,129,727.65
  5. Step 5: Solve for x
    x = 163,152,129,727.65/511,887.86
  6. Step 6: Final answer
    x = 318,726.31

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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.