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Finding the Fourth Proportional to 259,991.48, 390,041.76 and 147,723.68

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Solution

The fourth proportional to 259,991.48, 390,041.76 and 147,723.68 is: 221,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,991.48 : 390,041.76 = 147,723.68 : x
  2. Step 2: Convert to fraction form
    259,991.48/390,041.76 = 147,723.68/x
  3. Step 3: Cross multiply
    259,991.48x = 390,041.76 × 147,723.68
  4. Step 4: Simplify right side
    259,991.48x = 57,618,404,140.88
  5. Step 5: Solve for x
    x = 57,618,404,140.88/259,991.48
  6. Step 6: Final answer
    x = 221,616.51

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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.