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Finding the Fourth Proportional to 425,296.68, 638,036.55 and 212,179.20

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Solution

The fourth proportional to 425,296.68, 638,036.55 and 212,179.20 is: 318,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,296.68 : 638,036.55 = 212,179.20 : x
  2. Step 2: Convert to fraction form
    425,296.68/638,036.55 = 212,179.20/x
  3. Step 3: Cross multiply
    425,296.68x = 638,036.55 × 212,179.20
  4. Step 4: Simplify right side
    425,296.68x = 135,378,084,749.76
  5. Step 5: Solve for x
    x = 135,378,084,749.76/425,296.68
  6. Step 6: Final answer
    x = 318,314.46

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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.