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Finding the Fourth Proportional to 475,242.21, 655,834.14 and 284,300.49

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Solution

The fourth proportional to 475,242.21, 655,834.14 and 284,300.49 is: 392,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,242.21 : 655,834.14 = 284,300.49 : x
  2. Step 2: Convert to fraction form
    475,242.21/655,834.14 = 284,300.49/x
  3. Step 3: Cross multiply
    475,242.21x = 655,834.14 × 284,300.49
  4. Step 4: Simplify right side
    475,242.21x = 186,453,967,360.73
  5. Step 5: Solve for x
    x = 186,453,967,360.73/475,242.21
  6. Step 6: Final answer
    x = 392,334.61

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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.