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Finding the Fourth Proportional to 219,257.64, 302,323.32 and 161,979.84

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Solution

The fourth proportional to 219,257.64, 302,323.32 and 161,979.84 is: 223,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,257.64 : 302,323.32 = 161,979.84 : x
  2. Step 2: Convert to fraction form
    219,257.64/302,323.32 = 161,979.84/x
  3. Step 3: Cross multiply
    219,257.64x = 302,323.32 × 161,979.84
  4. Step 4: Simplify right side
    219,257.64x = 48,970,283,001.87
  5. Step 5: Solve for x
    x = 48,970,283,001.87/219,257.64
  6. Step 6: Final answer
    x = 223,345.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.