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Finding the Fourth Proportional to 409,660.59, 565,329.27 and 228,374.01

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Solution

The fourth proportional to 409,660.59, 565,329.27 and 228,374.01 is: 315,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,660.59 : 565,329.27 = 228,374.01 : x
  2. Step 2: Convert to fraction form
    409,660.59/565,329.27 = 228,374.01/x
  3. Step 3: Cross multiply
    409,660.59x = 565,329.27 × 228,374.01
  4. Step 4: Simplify right side
    409,660.59x = 129,106,512,360.27
  5. Step 5: Solve for x
    x = 129,106,512,360.27/409,660.59
  6. Step 6: Final answer
    x = 315,154.83

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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.