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Finding the Fourth Proportional to 309,459.92, 464,214.47 and 131,968.44

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Solution

The fourth proportional to 309,459.92, 464,214.47 and 131,968.44 is: 197,963.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,459.92 : 464,214.47 = 131,968.44 : x
  2. Step 2: Convert to fraction form
    309,459.92/464,214.47 = 131,968.44/x
  3. Step 3: Cross multiply
    309,459.92x = 464,214.47 × 131,968.44
  4. Step 4: Simplify right side
    309,459.92x = 61,261,658,771.48
  5. Step 5: Solve for x
    x = 61,261,658,771.48/309,459.92
  6. Step 6: Final answer
    x = 197,963.15

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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.