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Finding the Fourth Proportional to 379,483.12, 523,655.28 and 209,716.84

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Solution

The fourth proportional to 379,483.12, 523,655.28 and 209,716.84 is: 289,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,483.12 : 523,655.28 = 209,716.84 : x
  2. Step 2: Convert to fraction form
    379,483.12/523,655.28 = 209,716.84/x
  3. Step 3: Cross multiply
    379,483.12x = 523,655.28 × 209,716.84
  4. Step 4: Simplify right side
    379,483.12x = 109,819,330,570.92
  5. Step 5: Solve for x
    x = 109,819,330,570.92/379,483.12
  6. Step 6: Final answer
    x = 289,391.87

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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.