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Finding the Fourth Proportional to 511,624.74, 767,109 and 212,311.92

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Solution

The fourth proportional to 511,624.74, 767,109 and 212,311.92 is: 318,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,624.74 : 767,109 = 212,311.92 : x
  2. Step 2: Convert to fraction form
    511,624.74/767,109 = 212,311.92/x
  3. Step 3: Cross multiply
    511,624.74x = 767,109 × 212,311.92
  4. Step 4: Simplify right side
    511,624.74x = 162,866,384,639.28
  5. Step 5: Solve for x
    x = 162,866,384,639.28/511,624.74
  6. Step 6: Final answer
    x = 318,331.72

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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.