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Finding the Fourth Proportional to 543,301.54, 815,488.66 and 407,894.65

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Solution

The fourth proportional to 543,301.54, 815,488.66 and 407,894.65 is: 612,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,301.54 : 815,488.66 = 407,894.65 : x
  2. Step 2: Convert to fraction form
    543,301.54/815,488.66 = 407,894.65/x
  3. Step 3: Cross multiply
    543,301.54x = 815,488.66 × 407,894.65
  4. Step 4: Simplify right side
    543,301.54x = 332,633,460,020.82
  5. Step 5: Solve for x
    x = 332,633,460,020.82/543,301.54
  6. Step 6: Final answer
    x = 612,244.65

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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.