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Finding the Fourth Proportional to 824,219.64, 1,236,507 and 255,589.30

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Solution

The fourth proportional to 824,219.64, 1,236,507 and 255,589.30 is: 383,439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,219.64 : 1,236,507 = 255,589.30 : x
  2. Step 2: Convert to fraction form
    824,219.64/1,236,507 = 255,589.30/x
  3. Step 3: Cross multiply
    824,219.64x = 1,236,507 × 255,589.30
  4. Step 4: Simplify right side
    824,219.64x = 316,037,958,575.10
  5. Step 5: Solve for x
    x = 316,037,958,575.10/824,219.64
  6. Step 6: Final answer
    x = 383,439.00

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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.