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Finding the Fourth Proportional to 301,422.84, 415,964.12 and 178,939.79

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Solution

The fourth proportional to 301,422.84, 415,964.12 and 178,939.79 is: 246,937.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,422.84 : 415,964.12 = 178,939.79 : x
  2. Step 2: Convert to fraction form
    301,422.84/415,964.12 = 178,939.79/x
  3. Step 3: Cross multiply
    301,422.84x = 415,964.12 × 178,939.79
  4. Step 4: Simplify right side
    301,422.84x = 74,432,531,368.95
  5. Step 5: Solve for x
    x = 74,432,531,368.95/301,422.84
  6. Step 6: Final answer
    x = 246,937.26

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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.