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Finding the Fourth Proportional to 312,793.87, 469,223.61 and 102,448.21

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Solution

The fourth proportional to 312,793.87, 469,223.61 and 102,448.21 is: 153,683.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,793.87 : 469,223.61 = 102,448.21 : x
  2. Step 2: Convert to fraction form
    312,793.87/469,223.61 = 102,448.21/x
  3. Step 3: Cross multiply
    312,793.87x = 469,223.61 × 102,448.21
  4. Step 4: Simplify right side
    312,793.87x = 48,071,118,934.24
  5. Step 5: Solve for x
    x = 48,071,118,934.24/312,793.87
  6. Step 6: Final answer
    x = 153,683.06

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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.