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Finding the Fourth Proportional to 316,866.96, 475,300.80 and 80,209.65

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Solution

The fourth proportional to 316,866.96, 475,300.80 and 80,209.65 is: 120,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,866.96 : 475,300.80 = 80,209.65 : x
  2. Step 2: Convert to fraction form
    316,866.96/475,300.80 = 80,209.65/x
  3. Step 3: Cross multiply
    316,866.96x = 475,300.80 × 80,209.65
  4. Step 4: Simplify right side
    316,866.96x = 38,123,709,030.34
  5. Step 5: Solve for x
    x = 38,123,709,030.34/316,866.96
  6. Step 6: Final answer
    x = 120,314.56

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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.