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Finding the Fourth Proportional to 390,223.78, 585,326.54 and 179,861.72

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Solution

The fourth proportional to 390,223.78, 585,326.54 and 179,861.72 is: 269,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,223.78 : 585,326.54 = 179,861.72 : x
  2. Step 2: Convert to fraction form
    390,223.78/585,326.54 = 179,861.72/x
  3. Step 3: Cross multiply
    390,223.78x = 585,326.54 × 179,861.72
  4. Step 4: Simplify right side
    390,223.78x = 105,277,835,769.07
  5. Step 5: Solve for x
    x = 105,277,835,769.07/390,223.78
  6. Step 6: Final answer
    x = 269,788.37

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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.