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Finding the Fourth Proportional to 426,032.92, 638,961.90 and 201,297.88

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Solution

The fourth proportional to 426,032.92, 638,961.90 and 201,297.88 is: 301,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,032.92 : 638,961.90 = 201,297.88 : x
  2. Step 2: Convert to fraction form
    426,032.92/638,961.90 = 201,297.88/x
  3. Step 3: Cross multiply
    426,032.92x = 638,961.90 × 201,297.88
  4. Step 4: Simplify right side
    426,032.92x = 128,621,675,870.77
  5. Step 5: Solve for x
    x = 128,621,675,870.77/426,032.92
  6. Step 6: Final answer
    x = 301,905.49

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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.