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Finding the Fourth Proportional to 384,855.81, 530,754.82 and 248,746.65

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Solution

The fourth proportional to 384,855.81, 530,754.82 and 248,746.65 is: 343,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,855.81 : 530,754.82 = 248,746.65 : x
  2. Step 2: Convert to fraction form
    384,855.81/530,754.82 = 248,746.65/x
  3. Step 3: Cross multiply
    384,855.81x = 530,754.82 × 248,746.65
  4. Step 4: Simplify right side
    384,855.81x = 132,023,483,446.35
  5. Step 5: Solve for x
    x = 132,023,483,446.35/384,855.81
  6. Step 6: Final answer
    x = 343,046.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.