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Finding the Fourth Proportional to 315,279.65, 472,906.25 and 146,742.01

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Solution

The fourth proportional to 315,279.65, 472,906.25 and 146,742.01 is: 220,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,279.65 : 472,906.25 = 146,742.01 : x
  2. Step 2: Convert to fraction form
    315,279.65/472,906.25 = 146,742.01/x
  3. Step 3: Cross multiply
    315,279.65x = 472,906.25 × 146,742.01
  4. Step 4: Simplify right side
    315,279.65x = 69,395,212,300.87
  5. Step 5: Solve for x
    x = 69,395,212,300.87/315,279.65
  6. Step 6: Final answer
    x = 220,106.85

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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.