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Finding the Fourth Proportional to 511,605.56, 767,407.80 and 137,628.56

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Solution

The fourth proportional to 511,605.56, 767,407.80 and 137,628.56 is: 206,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,605.56 : 767,407.80 = 137,628.56 : x
  2. Step 2: Convert to fraction form
    511,605.56/767,407.80 = 137,628.56/x
  3. Step 3: Cross multiply
    511,605.56x = 767,407.80 × 137,628.56
  4. Step 4: Simplify right side
    511,605.56x = 105,617,230,446.77
  5. Step 5: Solve for x
    x = 105,617,230,446.77/511,605.56
  6. Step 6: Final answer
    x = 206,442.69

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1.5x scale

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.