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Finding the Fourth Proportional to 309,392.67, 464,089.41 and 84,755.10

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Solution

The fourth proportional to 309,392.67, 464,089.41 and 84,755.10 is: 127,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,392.67 : 464,089.41 = 84,755.10 : x
  2. Step 2: Convert to fraction form
    309,392.67/464,089.41 = 84,755.10/x
  3. Step 3: Cross multiply
    309,392.67x = 464,089.41 × 84,755.10
  4. Step 4: Simplify right side
    309,392.67x = 39,333,944,353.49
  5. Step 5: Solve for x
    x = 39,333,944,353.49/309,392.67
  6. Step 6: Final answer
    x = 127,132.76

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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.