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Finding the Fourth Proportional to 288,224.64, 431,451.12 and 245,709.36

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Solution

The fourth proportional to 288,224.64, 431,451.12 and 245,709.36 is: 367,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,224.64 : 431,451.12 = 245,709.36 : x
  2. Step 2: Convert to fraction form
    288,224.64/431,451.12 = 245,709.36/x
  3. Step 3: Cross multiply
    288,224.64x = 431,451.12 × 245,709.36
  4. Step 4: Simplify right side
    288,224.64x = 106,011,578,566.48
  5. Step 5: Solve for x
    x = 106,011,578,566.48/288,224.64
  6. Step 6: Final answer
    x = 367,808.87

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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.