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Finding the Fourth Proportional to 653,024.43, 901,362.06 and 394,902

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Solution

The fourth proportional to 653,024.43, 901,362.06 and 394,902 is: 545,078.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,024.43 : 901,362.06 = 394,902 : x
  2. Step 2: Convert to fraction form
    653,024.43/901,362.06 = 394,902/x
  3. Step 3: Cross multiply
    653,024.43x = 901,362.06 × 394,902
  4. Step 4: Simplify right side
    653,024.43x = 355,949,680,218.12
  5. Step 5: Solve for x
    x = 355,949,680,218.12/653,024.43
  6. Step 6: Final answer
    x = 545,078.66

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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.