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Finding the Fourth Proportional to 379,544.91, 523,348.16 and 310,419.15

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Solution

The fourth proportional to 379,544.91, 523,348.16 and 310,419.15 is: 428,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,544.91 : 523,348.16 = 310,419.15 : x
  2. Step 2: Convert to fraction form
    379,544.91/523,348.16 = 310,419.15/x
  3. Step 3: Cross multiply
    379,544.91x = 523,348.16 × 310,419.15
  4. Step 4: Simplify right side
    379,544.91x = 162,457,289,429.17
  5. Step 5: Solve for x
    x = 162,457,289,429.17/379,544.91
  6. Step 6: Final answer
    x = 428,031.80

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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.