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Finding the Fourth Proportional to 315,279.93, 472,906.65 and 146,742.30

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Solution

The fourth proportional to 315,279.93, 472,906.65 and 146,742.30 is: 220,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,279.93 : 472,906.65 = 146,742.30 : x
  2. Step 2: Convert to fraction form
    315,279.93/472,906.65 = 146,742.30/x
  3. Step 3: Cross multiply
    315,279.93x = 472,906.65 × 146,742.30
  4. Step 4: Simplify right side
    315,279.93x = 69,395,409,506.30
  5. Step 5: Solve for x
    x = 69,395,409,506.30/315,279.93
  6. Step 6: Final answer
    x = 220,107.29

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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.