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Finding the Fourth Proportional to 315,223.34, 472,568.88 and 146,656.64

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Solution

The fourth proportional to 315,223.34, 472,568.88 and 146,656.64 is: 219,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,223.34 : 472,568.88 = 146,656.64 : x
  2. Step 2: Convert to fraction form
    315,223.34/472,568.88 = 146,656.64/x
  3. Step 3: Cross multiply
    315,223.34x = 472,568.88 × 146,656.64
  4. Step 4: Simplify right side
    315,223.34x = 69,305,364,109.36
  5. Step 5: Solve for x
    x = 69,305,364,109.36/315,223.34
  6. Step 6: Final answer
    x = 219,861.14

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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.