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Finding the Fourth Proportional to 613,151.57, 845,425.42 and 419,652.65

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Solution

The fourth proportional to 613,151.57, 845,425.42 and 419,652.65 is: 578,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,151.57 : 845,425.42 = 419,652.65 : x
  2. Step 2: Convert to fraction form
    613,151.57/845,425.42 = 419,652.65/x
  3. Step 3: Cross multiply
    613,151.57x = 845,425.42 × 419,652.65
  4. Step 4: Simplify right side
    613,151.57x = 354,785,018,944.80
  5. Step 5: Solve for x
    x = 354,785,018,944.80/613,151.57
  6. Step 6: Final answer
    x = 578,625.31

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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.