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Finding the Fourth Proportional to 409,564.96, 565,131.12 and 228,237.12

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Solution

The fourth proportional to 409,564.96, 565,131.12 and 228,237.12 is: 314,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,564.96 : 565,131.12 = 228,237.12 : x
  2. Step 2: Convert to fraction form
    409,564.96/565,131.12 = 228,237.12/x
  3. Step 3: Cross multiply
    409,564.96x = 565,131.12 × 228,237.12
  4. Step 4: Simplify right side
    409,564.96x = 128,983,899,251.17
  5. Step 5: Solve for x
    x = 128,983,899,251.17/409,564.96
  6. Step 6: Final answer
    x = 314,929.04

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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.