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Finding the Fourth Proportional to 511,450.78, 767,148.42 and 156,464.83

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Solution

The fourth proportional to 511,450.78, 767,148.42 and 156,464.83 is: 234,688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,450.78 : 767,148.42 = 156,464.83 : x
  2. Step 2: Convert to fraction form
    511,450.78/767,148.42 = 156,464.83/x
  3. Step 3: Cross multiply
    511,450.78x = 767,148.42 × 156,464.83
  4. Step 4: Simplify right side
    511,450.78x = 120,031,747,120.07
  5. Step 5: Solve for x
    x = 120,031,747,120.07/511,450.78
  6. Step 6: Final answer
    x = 234,688.76

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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.