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Finding the Fourth Proportional to 511,886.90, 767,823.15 and 231,403.70

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Solution

The fourth proportional to 511,886.90, 767,823.15 and 231,403.70 is: 347,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,886.90 : 767,823.15 = 231,403.70 : x
  2. Step 2: Convert to fraction form
    511,886.90/767,823.15 = 231,403.70/x
  3. Step 3: Cross multiply
    511,886.90x = 767,823.15 × 231,403.70
  4. Step 4: Simplify right side
    511,886.90x = 177,677,117,855.66
  5. Step 5: Solve for x
    x = 177,677,117,855.66/511,886.90
  6. Step 6: Final answer
    x = 347,102.30

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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.