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Finding the Fourth Proportional to 390,262.25, 585,384.87 and 179,900.19

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Solution

The fourth proportional to 390,262.25, 585,384.87 and 179,900.19 is: 269,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,262.25 : 585,384.87 = 179,900.19 : x
  2. Step 2: Convert to fraction form
    390,262.25/585,384.87 = 179,900.19/x
  3. Step 3: Cross multiply
    390,262.25x = 585,384.87 × 179,900.19
  4. Step 4: Simplify right side
    390,262.25x = 105,310,850,010.75
  5. Step 5: Solve for x
    x = 105,310,850,010.75/390,262.25
  6. Step 6: Final answer
    x = 269,846.36

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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.