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Finding the Fourth Proportional to 301,780.56, 416,493.38 and 180,988.30

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Solution

The fourth proportional to 301,780.56, 416,493.38 and 180,988.30 is: 249,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,780.56 : 416,493.38 = 180,988.30 : x
  2. Step 2: Convert to fraction form
    301,780.56/416,493.38 = 180,988.30/x
  3. Step 3: Cross multiply
    301,780.56x = 416,493.38 × 180,988.30
  4. Step 4: Simplify right side
    301,780.56x = 75,380,428,354.64
  5. Step 5: Solve for x
    x = 75,380,428,354.64/301,780.56
  6. Step 6: Final answer
    x = 249,785.57

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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.