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Finding the Fourth Proportional to 302,690.32, 417,708.72 and 166,721.68

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Solution

The fourth proportional to 302,690.32, 417,708.72 and 166,721.68 is: 230,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,690.32 : 417,708.72 = 166,721.68 : x
  2. Step 2: Convert to fraction form
    302,690.32/417,708.72 = 166,721.68/x
  3. Step 3: Cross multiply
    302,690.32x = 417,708.72 × 166,721.68
  4. Step 4: Simplify right side
    302,690.32x = 69,641,099,549.05
  5. Step 5: Solve for x
    x = 69,641,099,549.05/302,690.32
  6. Step 6: Final answer
    x = 230,073.76

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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.