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Finding the Fourth Proportional to 306,350.84, 422,731.76 and 170,362.92

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Solution

The fourth proportional to 306,350.84, 422,731.76 and 170,362.92 is: 235,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,350.84 : 422,731.76 = 170,362.92 : x
  2. Step 2: Convert to fraction form
    306,350.84/422,731.76 = 170,362.92/x
  3. Step 3: Cross multiply
    306,350.84x = 422,731.76 × 170,362.92
  4. Step 4: Simplify right side
    306,350.84x = 72,017,817,010.34
  5. Step 5: Solve for x
    x = 72,017,817,010.34/306,350.84
  6. Step 6: Final answer
    x = 235,082.81

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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.