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Finding the Fourth Proportional to 315,281.72, 472,909.34 and 146,744.07

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Solution

The fourth proportional to 315,281.72, 472,909.34 and 146,744.07 is: 220,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,281.72 : 472,909.34 = 146,744.07 : x
  2. Step 2: Convert to fraction form
    315,281.72/472,909.34 = 146,744.07/x
  3. Step 3: Cross multiply
    315,281.72x = 472,909.34 × 146,744.07
  4. Step 4: Simplify right side
    315,281.72x = 69,396,640,558.89
  5. Step 5: Solve for x
    x = 69,396,640,558.89/315,281.72
  6. Step 6: Final answer
    x = 220,109.94

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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.