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Finding the Fourth Proportional to 215,424.96, 297,276.84 and 123,478.32

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Solution

The fourth proportional to 215,424.96, 297,276.84 and 123,478.32 is: 170,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424.96 : 297,276.84 = 123,478.32 : x
  2. Step 2: Convert to fraction form
    215,424.96/297,276.84 = 123,478.32/x
  3. Step 3: Cross multiply
    215,424.96x = 297,276.84 × 123,478.32
  4. Step 4: Simplify right side
    215,424.96x = 36,707,244,778.11
  5. Step 5: Solve for x
    x = 36,707,244,778.11/215,424.96
  6. Step 6: Final answer
    x = 170,394.58

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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.