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Finding the Fourth Proportional to 301,045.30, 415,461.72 and 198,891.57

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Solution

The fourth proportional to 301,045.30, 415,461.72 and 198,891.57 is: 274,483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,045.30 : 415,461.72 = 198,891.57 : x
  2. Step 2: Convert to fraction form
    301,045.30/415,461.72 = 198,891.57/x
  3. Step 3: Cross multiply
    301,045.30x = 415,461.72 × 198,891.57
  4. Step 4: Simplify right side
    301,045.30x = 82,631,833,765.70
  5. Step 5: Solve for x
    x = 82,631,833,765.70/301,045.30
  6. Step 6: Final answer
    x = 274,483.06

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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.