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Finding the Fourth Proportional to 318,837.44, 477,928.10 and 141,428

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Solution

The fourth proportional to 318,837.44, 477,928.10 and 141,428 is: 211,996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,837.44 : 477,928.10 = 141,428 : x
  2. Step 2: Convert to fraction form
    318,837.44/477,928.10 = 141,428/x
  3. Step 3: Cross multiply
    318,837.44x = 477,928.10 × 141,428
  4. Step 4: Simplify right side
    318,837.44x = 67,592,415,326.80
  5. Step 5: Solve for x
    x = 67,592,415,326.80/318,837.44
  6. Step 6: Final answer
    x = 211,996.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.