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Finding the Fourth Proportional to 309,730.29, 464,589.91 and 85,089.84

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Solution

The fourth proportional to 309,730.29, 464,589.91 and 85,089.84 is: 127,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,730.29 : 464,589.91 = 85,089.84 : x
  2. Step 2: Convert to fraction form
    309,730.29/464,589.91 = 85,089.84/x
  3. Step 3: Cross multiply
    309,730.29x = 464,589.91 × 85,089.84
  4. Step 4: Simplify right side
    309,730.29x = 39,531,881,107.51
  5. Step 5: Solve for x
    x = 39,531,881,107.51/309,730.29
  6. Step 6: Final answer
    x = 127,633.24

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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.