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Finding the Fourth Proportional to 647,535.48, 971,069.92 and 273,587.64

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Solution

The fourth proportional to 647,535.48, 971,069.92 and 273,587.64 is: 410,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,535.48 : 971,069.92 = 273,587.64 : x
  2. Step 2: Convert to fraction form
    647,535.48/971,069.92 = 273,587.64/x
  3. Step 3: Cross multiply
    647,535.48x = 971,069.92 × 273,587.64
  4. Step 4: Simplify right side
    647,535.48x = 265,672,727,687.79
  5. Step 5: Solve for x
    x = 265,672,727,687.79/647,535.48
  6. Step 6: Final answer
    x = 410,282.89

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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.