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Finding the Fourth Proportional to 408,500.51, 563,722.61 and 227,208.53

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Solution

The fourth proportional to 408,500.51, 563,722.61 and 227,208.53 is: 313,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,500.51 : 563,722.61 = 227,208.53 : x
  2. Step 2: Convert to fraction form
    408,500.51/563,722.61 = 227,208.53/x
  3. Step 3: Cross multiply
    408,500.51x = 563,722.61 × 227,208.53
  4. Step 4: Simplify right side
    408,500.51x = 128,082,587,523.19
  5. Step 5: Solve for x
    x = 128,082,587,523.19/408,500.51
  6. Step 6: Final answer
    x = 313,543.28

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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.