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Finding the Fourth Proportional to 340,764.38, 470,334.98 and 211,800.25

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Solution

The fourth proportional to 340,764.38, 470,334.98 and 211,800.25 is: 292,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,764.38 : 470,334.98 = 211,800.25 : x
  2. Step 2: Convert to fraction form
    340,764.38/470,334.98 = 211,800.25/x
  3. Step 3: Cross multiply
    340,764.38x = 470,334.98 × 211,800.25
  4. Step 4: Simplify right side
    340,764.38x = 99,617,066,347.75
  5. Step 5: Solve for x
    x = 99,617,066,347.75/340,764.38
  6. Step 6: Final answer
    x = 292,334.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.