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Finding the Fourth Proportional to 417,297.21, 625,489.18 and 214,905.57

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Solution

The fourth proportional to 417,297.21, 625,489.18 and 214,905.57 is: 322,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,297.21 : 625,489.18 = 214,905.57 : x
  2. Step 2: Convert to fraction form
    417,297.21/625,489.18 = 214,905.57/x
  3. Step 3: Cross multiply
    417,297.21x = 625,489.18 × 214,905.57
  4. Step 4: Simplify right side
    417,297.21x = 134,421,108,219.47
  5. Step 5: Solve for x
    x = 134,421,108,219.47/417,297.21
  6. Step 6: Final answer
    x = 322,123.19

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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.