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Finding the Fourth Proportional to 405,882.78, 608,101.89 and 346,112.10

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Solution

The fourth proportional to 405,882.78, 608,101.89 and 346,112.10 is: 518,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,882.78 : 608,101.89 = 346,112.10 : x
  2. Step 2: Convert to fraction form
    405,882.78/608,101.89 = 346,112.10/x
  3. Step 3: Cross multiply
    405,882.78x = 608,101.89 × 346,112.10
  4. Step 4: Simplify right side
    405,882.78x = 210,471,422,161.87
  5. Step 5: Solve for x
    x = 210,471,422,161.87/405,882.78
  6. Step 6: Final answer
    x = 518,552.23

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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.