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Finding the Fourth Proportional to 220,432.93, 304,178 and 122,318.64

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Solution

The fourth proportional to 220,432.93, 304,178 and 122,318.64 is: 168,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,432.93 : 304,178 = 122,318.64 : x
  2. Step 2: Convert to fraction form
    220,432.93/304,178 = 122,318.64/x
  3. Step 3: Cross multiply
    220,432.93x = 304,178 × 122,318.64
  4. Step 4: Simplify right side
    220,432.93x = 37,206,639,277.92
  5. Step 5: Solve for x
    x = 37,206,639,277.92/220,432.93
  6. Step 6: Final answer
    x = 168,788.93

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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.