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Finding the Fourth Proportional to 338,158.68, 507,322.26 and 101,505.72

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Solution

The fourth proportional to 338,158.68, 507,322.26 and 101,505.72 is: 152,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,158.68 : 507,322.26 = 101,505.72 : x
  2. Step 2: Convert to fraction form
    338,158.68/507,322.26 = 101,505.72/x
  3. Step 3: Cross multiply
    338,158.68x = 507,322.26 × 101,505.72
  4. Step 4: Simplify right side
    338,158.68x = 51,496,111,273.33
  5. Step 5: Solve for x
    x = 51,496,111,273.33/338,158.68
  6. Step 6: Final answer
    x = 152,283.87

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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.