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Finding the Fourth Proportional to 301,878, 416,344.44 and 187,076.88

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Solution

The fourth proportional to 301,878, 416,344.44 and 187,076.88 is: 258,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,878 : 416,344.44 = 187,076.88 : x
  2. Step 2: Convert to fraction form
    301,878/416,344.44 = 187,076.88/x
  3. Step 3: Cross multiply
    301,878x = 416,344.44 × 187,076.88
  4. Step 4: Simplify right side
    301,878x = 77,888,418,840.55
  5. Step 5: Solve for x
    x = 77,888,418,840.55/301,878
  6. Step 6: Final answer
    x = 258,012.90

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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.