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Finding the Fourth Proportional to 380,622.61, 525,315.12 and 219,446.11

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Solution

The fourth proportional to 380,622.61, 525,315.12 and 219,446.11 is: 302,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,622.61 : 525,315.12 = 219,446.11 : x
  2. Step 2: Convert to fraction form
    380,622.61/525,315.12 = 219,446.11/x
  3. Step 3: Cross multiply
    380,622.61x = 525,315.12 × 219,446.11
  4. Step 4: Simplify right side
    380,622.61x = 115,278,356,981.61
  5. Step 5: Solve for x
    x = 115,278,356,981.61/380,622.61
  6. Step 6: Final answer
    x = 302,867.87

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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.