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Finding the Fourth Proportional to 223,288.92, 307,830.78 and 178,120.12

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Solution

The fourth proportional to 223,288.92, 307,830.78 and 178,120.12 is: 245,560.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,288.92 : 307,830.78 = 178,120.12 : x
  2. Step 2: Convert to fraction form
    223,288.92/307,830.78 = 178,120.12/x
  3. Step 3: Cross multiply
    223,288.92x = 307,830.78 × 178,120.12
  4. Step 4: Simplify right side
    223,288.92x = 54,830,855,473.29
  5. Step 5: Solve for x
    x = 54,830,855,473.29/223,288.92
  6. Step 6: Final answer
    x = 245,560.13

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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.