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Finding the Fourth Proportional to 330,463.16, 456,028.70 and 194,465.78

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Solution

The fourth proportional to 330,463.16, 456,028.70 and 194,465.78 is: 268,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,463.16 : 456,028.70 = 194,465.78 : x
  2. Step 2: Convert to fraction form
    330,463.16/456,028.70 = 194,465.78/x
  3. Step 3: Cross multiply
    330,463.16x = 456,028.70 × 194,465.78
  4. Step 4: Simplify right side
    330,463.16x = 88,681,976,847.89
  5. Step 5: Solve for x
    x = 88,681,976,847.89/330,463.16
  6. Step 6: Final answer
    x = 268,356.62

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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.