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Finding the Fourth Proportional to 309,956.94, 464,874.20 and 85,259.39

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Solution

The fourth proportional to 309,956.94, 464,874.20 and 85,259.39 is: 127,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,956.94 : 464,874.20 = 85,259.39 : x
  2. Step 2: Convert to fraction form
    309,956.94/464,874.20 = 85,259.39/x
  3. Step 3: Cross multiply
    309,956.94x = 464,874.20 × 85,259.39
  4. Step 4: Simplify right side
    309,956.94x = 39,634,891,970.38
  5. Step 5: Solve for x
    x = 39,634,891,970.38/309,956.94
  6. Step 6: Final answer
    x = 127,872.25

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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.