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Finding the Fourth Proportional to 403,764.20, 604,990.20 and 380,144.60

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Solution

The fourth proportional to 403,764.20, 604,990.20 and 380,144.60 is: 569,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,764.20 : 604,990.20 = 380,144.60 : x
  2. Step 2: Convert to fraction form
    403,764.20/604,990.20 = 380,144.60/x
  3. Step 3: Cross multiply
    403,764.20x = 604,990.20 × 380,144.60
  4. Step 4: Simplify right side
    403,764.20x = 229,983,757,582.92
  5. Step 5: Solve for x
    x = 229,983,757,582.92/403,764.20
  6. Step 6: Final answer
    x = 569,599.18

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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.