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Finding the Fourth Proportional to 511,401.92, 767,102.24 and 137,424.96

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Solution

The fourth proportional to 511,401.92, 767,102.24 and 137,424.96 is: 206,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,401.92 : 767,102.24 = 137,424.96 : x
  2. Step 2: Convert to fraction form
    511,401.92/767,102.24 = 137,424.96/x
  3. Step 3: Cross multiply
    511,401.92x = 767,102.24 × 137,424.96
  4. Step 4: Simplify right side
    511,401.92x = 105,418,994,647.91
  5. Step 5: Solve for x
    x = 105,418,994,647.91/511,401.92
  6. Step 6: Final answer
    x = 206,137.27

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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.