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Finding the Fourth Proportional to 409,088.75, 613,206.54 and 228,910.01

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Solution

The fourth proportional to 409,088.75, 613,206.54 and 228,910.01 is: 343,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,088.75 : 613,206.54 = 228,910.01 : x
  2. Step 2: Convert to fraction form
    409,088.75/613,206.54 = 228,910.01/x
  3. Step 3: Cross multiply
    409,088.75x = 613,206.54 × 228,910.01
  4. Step 4: Simplify right side
    409,088.75x = 140,369,116,736.48
  5. Step 5: Solve for x
    x = 140,369,116,736.48/409,088.75
  6. Step 6: Final answer
    x = 343,126.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.