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Finding the Fourth Proportional to 390,314.22, 585,072.50 and 221,477.87

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Solution

The fourth proportional to 390,314.22, 585,072.50 and 221,477.87 is: 331,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,314.22 : 585,072.50 = 221,477.87 : x
  2. Step 2: Convert to fraction form
    390,314.22/585,072.50 = 221,477.87/x
  3. Step 3: Cross multiply
    390,314.22x = 585,072.50 × 221,477.87
  4. Step 4: Simplify right side
    390,314.22x = 129,580,607,062.82
  5. Step 5: Solve for x
    x = 129,580,607,062.82/390,314.22
  6. Step 6: Final answer
    x = 331,990.48

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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.