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Finding the Fourth Proportional to 309,512.88, 464,269.20 and 204,307.20

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Solution

The fourth proportional to 309,512.88, 464,269.20 and 204,307.20 is: 306,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,512.88 : 464,269.20 = 204,307.20 : x
  2. Step 2: Convert to fraction form
    309,512.88/464,269.20 = 204,307.20/x
  3. Step 3: Cross multiply
    309,512.88x = 464,269.20 × 204,307.20
  4. Step 4: Simplify right side
    309,512.88x = 94,853,540,298.24
  5. Step 5: Solve for x
    x = 94,853,540,298.24/309,512.88
  6. Step 6: Final answer
    x = 306,460.72

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1.5x scale

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.