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Finding the Fourth Proportional to 309,972.96, 464,251.54 and 147,980.95

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Solution

The fourth proportional to 309,972.96, 464,251.54 and 147,980.95 is: 221,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,972.96 : 464,251.54 = 147,980.95 : x
  2. Step 2: Convert to fraction form
    309,972.96/464,251.54 = 147,980.95/x
  3. Step 3: Cross multiply
    309,972.96x = 464,251.54 × 147,980.95
  4. Step 4: Simplify right side
    309,972.96x = 68,700,386,329.22
  5. Step 5: Solve for x
    x = 68,700,386,329.22/309,972.96
  6. Step 6: Final answer
    x = 221,633.48

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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.