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Finding the Fourth Proportional to 309,964.74, 464,947.12 and 99,750.30

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Solution

The fourth proportional to 309,964.74, 464,947.12 and 99,750.30 is: 149,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,964.74 : 464,947.12 = 99,750.30 : x
  2. Step 2: Convert to fraction form
    309,964.74/464,947.12 = 99,750.30/x
  3. Step 3: Cross multiply
    309,964.74x = 464,947.12 × 99,750.30
  4. Step 4: Simplify right side
    309,964.74x = 46,378,614,704.14
  5. Step 5: Solve for x
    x = 46,378,614,704.14/309,964.74
  6. Step 6: Final answer
    x = 149,625.45

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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.