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Finding the Fourth Proportional to 647,723.52, 971,190 and 268,345.44

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Solution

The fourth proportional to 647,723.52, 971,190 and 268,345.44 is: 402,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,723.52 : 971,190 = 268,345.44 : x
  2. Step 2: Convert to fraction form
    647,723.52/971,190 = 268,345.44/x
  3. Step 3: Cross multiply
    647,723.52x = 971,190 × 268,345.44
  4. Step 4: Simplify right side
    647,723.52x = 260,614,407,873.60
  5. Step 5: Solve for x
    x = 260,614,407,873.60/647,723.52
  6. Step 6: Final answer
    x = 402,354.40

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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.