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Finding the Fourth Proportional to 541,380, 747,085.68 and 299,673.12

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Solution

The fourth proportional to 541,380, 747,085.68 and 299,673.12 is: 413,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,380 : 747,085.68 = 299,673.12 : x
  2. Step 2: Convert to fraction form
    541,380/747,085.68 = 299,673.12/x
  3. Step 3: Cross multiply
    541,380x = 747,085.68 × 299,673.12
  4. Step 4: Simplify right side
    541,380x = 223,881,496,632.92
  5. Step 5: Solve for x
    x = 223,881,496,632.92/541,380
  6. Step 6: Final answer
    x = 413,538.54

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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.