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Finding the Fourth Proportional to 409,560.49, 565,173.21 and 228,287.35

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Solution

The fourth proportional to 409,560.49, 565,173.21 and 228,287.35 is: 315,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,560.49 : 565,173.21 = 228,287.35 : x
  2. Step 2: Convert to fraction form
    409,560.49/565,173.21 = 228,287.35/x
  3. Step 3: Cross multiply
    409,560.49x = 565,173.21 × 228,287.35
  4. Step 4: Simplify right side
    409,560.49x = 129,021,894,401.89
  5. Step 5: Solve for x
    x = 129,021,894,401.89/409,560.49
  6. Step 6: Final answer
    x = 315,025.25

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1.5x scale

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.