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Finding the Fourth Proportional to 409,649.83, 565,318.91 and 228,362.11

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Solution

The fourth proportional to 409,649.83, 565,318.91 and 228,362.11 is: 315,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,649.83 : 565,318.91 = 228,362.11 : x
  2. Step 2: Convert to fraction form
    409,649.83/565,318.91 = 228,362.11/x
  3. Step 3: Cross multiply
    409,649.83x = 565,318.91 × 228,362.11
  4. Step 4: Simplify right side
    409,649.83x = 129,097,418,268.11
  5. Step 5: Solve for x
    x = 129,097,418,268.11/409,649.83
  6. Step 6: Final answer
    x = 315,140.91

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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.