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Finding the Fourth Proportional to 409,555.30, 565,188.94 and 228,278.74

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Solution

The fourth proportional to 409,555.30, 565,188.94 and 228,278.74 is: 315,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,555.30 : 565,188.94 = 228,278.74 : x
  2. Step 2: Convert to fraction form
    409,555.30/565,188.94 = 228,278.74/x
  3. Step 3: Cross multiply
    409,555.30x = 565,188.94 × 228,278.74
  4. Step 4: Simplify right side
    409,555.30x = 129,020,620,076.97
  5. Step 5: Solve for x
    x = 129,020,620,076.97/409,555.30
  6. Step 6: Final answer
    x = 315,026.13

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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.