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Finding the Fourth Proportional to 425,402.16, 638,161.56 and 188,739.60

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Solution

The fourth proportional to 425,402.16, 638,161.56 and 188,739.60 is: 283,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,402.16 : 638,161.56 = 188,739.60 : x
  2. Step 2: Convert to fraction form
    425,402.16/638,161.56 = 188,739.60/x
  3. Step 3: Cross multiply
    425,402.16x = 638,161.56 × 188,739.60
  4. Step 4: Simplify right side
    425,402.16x = 120,446,357,569.78
  5. Step 5: Solve for x
    x = 120,446,357,569.78/425,402.16
  6. Step 6: Final answer
    x = 283,135.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.