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Finding the Fourth Proportional to 315,221.34, 472,565.88 and 146,654.64

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Solution

The fourth proportional to 315,221.34, 472,565.88 and 146,654.64 is: 219,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,221.34 : 472,565.88 = 146,654.64 : x
  2. Step 2: Convert to fraction form
    315,221.34/472,565.88 = 146,654.64/x
  3. Step 3: Cross multiply
    315,221.34x = 472,565.88 × 146,654.64
  4. Step 4: Simplify right side
    315,221.34x = 69,303,979,007.68
  5. Step 5: Solve for x
    x = 69,303,979,007.68/315,221.34
  6. Step 6: Final answer
    x = 219,858.14

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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.