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Finding the Fourth Proportional to 309,892.59, 464,777.69 and 85,195.08

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Solution

The fourth proportional to 309,892.59, 464,777.69 and 85,195.08 is: 127,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,892.59 : 464,777.69 = 85,195.08 : x
  2. Step 2: Convert to fraction form
    309,892.59/464,777.69 = 85,195.08/x
  3. Step 3: Cross multiply
    309,892.59x = 464,777.69 × 85,195.08
  4. Step 4: Simplify right side
    309,892.59x = 39,596,772,055.79
  5. Step 5: Solve for x
    x = 39,596,772,055.79/309,892.59
  6. Step 6: Final answer
    x = 127,775.80

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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.