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Finding the Fourth Proportional to 314,117.21, 470,997.32 and 214,398.11

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Solution

The fourth proportional to 314,117.21, 470,997.32 and 214,398.11 is: 321,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,117.21 : 470,997.32 = 214,398.11 : x
  2. Step 2: Convert to fraction form
    314,117.21/470,997.32 = 214,398.11/x
  3. Step 3: Cross multiply
    314,117.21x = 470,997.32 × 214,398.11
  4. Step 4: Simplify right side
    314,117.21x = 100,980,935,328.57
  5. Step 5: Solve for x
    x = 100,980,935,328.57/314,117.21
  6. Step 6: Final answer
    x = 321,475.33

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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.