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Finding the Fourth Proportional to 511,804.31, 767,678.77 and 156,819.36

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Solution

The fourth proportional to 511,804.31, 767,678.77 and 156,819.36 is: 235,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,804.31 : 767,678.77 = 156,819.36 : x
  2. Step 2: Convert to fraction form
    511,804.31/767,678.77 = 156,819.36/x
  3. Step 3: Cross multiply
    511,804.31x = 767,678.77 × 156,819.36
  4. Step 4: Simplify right side
    511,804.31x = 120,386,891,085.74
  5. Step 5: Solve for x
    x = 120,386,891,085.74/511,804.31
  6. Step 6: Final answer
    x = 235,220.55

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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.