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Finding the Fourth Proportional to 309,531.11, 464,200.86 and 149,507.64

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Solution

The fourth proportional to 309,531.11, 464,200.86 and 149,507.64 is: 224,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,531.11 : 464,200.86 = 149,507.64 : x
  2. Step 2: Convert to fraction form
    309,531.11/464,200.86 = 149,507.64/x
  3. Step 3: Cross multiply
    309,531.11x = 464,200.86 × 149,507.64
  4. Step 4: Simplify right side
    309,531.11x = 69,401,575,625.22
  5. Step 5: Solve for x
    x = 69,401,575,625.22/309,531.11
  6. Step 6: Final answer
    x = 224,215.19

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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.