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Finding the Fourth Proportional to 288,921.80, 432,864.30 and 247,449.80

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Solution

The fourth proportional to 288,921.80, 432,864.30 and 247,449.80 is: 370,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,921.80 : 432,864.30 = 247,449.80 : x
  2. Step 2: Convert to fraction form
    288,921.80/432,864.30 = 247,449.80/x
  3. Step 3: Cross multiply
    288,921.80x = 432,864.30 × 247,449.80
  4. Step 4: Simplify right side
    288,921.80x = 107,112,184,462.14
  5. Step 5: Solve for x
    x = 107,112,184,462.14/288,921.80
  6. Step 6: Final answer
    x = 370,730.71

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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.