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Finding the Fourth Proportional to 298,727.61, 448,090.99 and 138,716.04

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Solution

The fourth proportional to 298,727.61, 448,090.99 and 138,716.04 is: 208,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,727.61 : 448,090.99 = 138,716.04 : x
  2. Step 2: Convert to fraction form
    298,727.61/448,090.99 = 138,716.04/x
  3. Step 3: Cross multiply
    298,727.61x = 448,090.99 × 138,716.04
  4. Step 4: Simplify right side
    298,727.61x = 62,157,409,806.31
  5. Step 5: Solve for x
    x = 62,157,409,806.31/298,727.61
  6. Step 6: Final answer
    x = 208,073.87

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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.