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Finding the Fourth Proportional to 409,659.59, 565,327.89 and 228,373.01

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Solution

The fourth proportional to 409,659.59, 565,327.89 and 228,373.01 is: 315,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.59 : 565,327.89 = 228,373.01 : x
  2. Step 2: Convert to fraction form
    409,659.59/565,327.89 = 228,373.01/x
  3. Step 3: Cross multiply
    409,659.59x = 565,327.89 × 228,373.01
  4. Step 4: Simplify right side
    409,659.59x = 129,105,631,876.25
  5. Step 5: Solve for x
    x = 129,105,631,876.25/409,659.59
  6. Step 6: Final answer
    x = 315,153.45

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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.