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Finding the Fourth Proportional to 390,494.69, 585,073.37 and 213,126.15

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Solution

The fourth proportional to 390,494.69, 585,073.37 and 213,126.15 is: 319,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,494.69 : 585,073.37 = 213,126.15 : x
  2. Step 2: Convert to fraction form
    390,494.69/585,073.37 = 213,126.15/x
  3. Step 3: Cross multiply
    390,494.69x = 585,073.37 × 213,126.15
  4. Step 4: Simplify right side
    390,494.69x = 124,694,433,750.00
  5. Step 5: Solve for x
    x = 124,694,433,750.00/390,494.69
  6. Step 6: Final answer
    x = 319,324.28

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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.