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Finding the Fourth Proportional to 338,640.89, 507,780.86 and 113,926.64

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Solution

The fourth proportional to 338,640.89, 507,780.86 and 113,926.64 is: 170,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,640.89 : 507,780.86 = 113,926.64 : x
  2. Step 2: Convert to fraction form
    338,640.89/507,780.86 = 113,926.64/x
  3. Step 3: Cross multiply
    338,640.89x = 507,780.86 × 113,926.64
  4. Step 4: Simplify right side
    338,640.89x = 57,849,764,127.57
  5. Step 5: Solve for x
    x = 57,849,764,127.57/338,640.89
  6. Step 6: Final answer
    x = 170,829.24

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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.