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Finding the Fourth Proportional to 390,494.94, 585,073.74 and 213,126.40

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Solution

The fourth proportional to 390,494.94, 585,073.74 and 213,126.40 is: 319,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,494.94 : 585,073.74 = 213,126.40 : x
  2. Step 2: Convert to fraction form
    390,494.94/585,073.74 = 213,126.40/x
  3. Step 3: Cross multiply
    390,494.94x = 585,073.74 × 213,126.40
  4. Step 4: Simplify right side
    390,494.94x = 124,694,659,940.74
  5. Step 5: Solve for x
    x = 124,694,659,940.74/390,494.94
  6. Step 6: Final answer
    x = 319,324.65

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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.