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Finding the Fourth Proportional to 338,438, 507,573.84 and 148,945.88

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Solution

The fourth proportional to 338,438, 507,573.84 and 148,945.88 is: 223,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,438 : 507,573.84 = 148,945.88 : x
  2. Step 2: Convert to fraction form
    338,438/507,573.84 = 148,945.88/x
  3. Step 3: Cross multiply
    338,438x = 507,573.84 × 148,945.88
  4. Step 4: Simplify right side
    338,438x = 75,601,032,263.78
  5. Step 5: Solve for x
    x = 75,601,032,263.78/338,438
  6. Step 6: Final answer
    x = 223,382.22

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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.