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Finding the Fourth Proportional to 230,548, 318,418.68 and 154,965.28

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Solution

The fourth proportional to 230,548, 318,418.68 and 154,965.28 is: 214,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,548 : 318,418.68 = 154,965.28 : x
  2. Step 2: Convert to fraction form
    230,548/318,418.68 = 154,965.28/x
  3. Step 3: Cross multiply
    230,548x = 318,418.68 × 154,965.28
  4. Step 4: Simplify right side
    230,548x = 49,343,839,903.43
  5. Step 5: Solve for x
    x = 49,343,839,903.43/230,548
  6. Step 6: Final answer
    x = 214,028.49

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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.