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Finding the Fourth Proportional to 511,345.76, 767,244.57 and 268,128.75

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Solution

The fourth proportional to 511,345.76, 767,244.57 and 268,128.75 is: 402,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,345.76 : 767,244.57 = 268,128.75 : x
  2. Step 2: Convert to fraction form
    511,345.76/767,244.57 = 268,128.75/x
  3. Step 3: Cross multiply
    511,345.76x = 767,244.57 × 268,128.75
  4. Step 4: Simplify right side
    511,345.76x = 205,720,327,498.39
  5. Step 5: Solve for x
    x = 205,720,327,498.39/511,345.76
  6. Step 6: Final answer
    x = 402,311.59

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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.