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Finding the Fourth Proportional to 338,640.40, 507,944.40 and 113,978.80

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Solution

The fourth proportional to 338,640.40, 507,944.40 and 113,978.80 is: 170,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,640.40 : 507,944.40 = 113,978.80 : x
  2. Step 2: Convert to fraction form
    338,640.40/507,944.40 = 113,978.80/x
  3. Step 3: Cross multiply
    338,640.40x = 507,944.40 × 113,978.80
  4. Step 4: Simplify right side
    338,640.40x = 57,894,893,178.72
  5. Step 5: Solve for x
    x = 57,894,893,178.72/338,640.40
  6. Step 6: Final answer
    x = 170,962.75

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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.