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Finding the Fourth Proportional to 302,422.84, 417,169.68 and 189,048.76

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Solution

The fourth proportional to 302,422.84, 417,169.68 and 189,048.76 is: 260,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,422.84 : 417,169.68 = 189,048.76 : x
  2. Step 2: Convert to fraction form
    302,422.84/417,169.68 = 189,048.76/x
  3. Step 3: Cross multiply
    302,422.84x = 417,169.68 × 189,048.76
  4. Step 4: Simplify right side
    302,422.84x = 78,865,410,713.60
  5. Step 5: Solve for x
    x = 78,865,410,713.60/302,422.84
  6. Step 6: Final answer
    x = 260,778.62

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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.