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Finding the Fourth Proportional to 372,405.71, 513,830.30 and 219,450.17

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Solution

The fourth proportional to 372,405.71, 513,830.30 and 219,450.17 is: 302,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,405.71 : 513,830.30 = 219,450.17 : x
  2. Step 2: Convert to fraction form
    372,405.71/513,830.30 = 219,450.17/x
  3. Step 3: Cross multiply
    372,405.71x = 513,830.30 × 219,450.17
  4. Step 4: Simplify right side
    372,405.71x = 112,760,143,019.75
  5. Step 5: Solve for x
    x = 112,760,143,019.75/372,405.71
  6. Step 6: Final answer
    x = 302,788.44

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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.