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Finding the Fourth Proportional to 647,087.35, 970,633.50 and 197,806.48

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Solution

The fourth proportional to 647,087.35, 970,633.50 and 197,806.48 is: 296,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,087.35 : 970,633.50 = 197,806.48 : x
  2. Step 2: Convert to fraction form
    647,087.35/970,633.50 = 197,806.48/x
  3. Step 3: Cross multiply
    647,087.35x = 970,633.50 × 197,806.48
  4. Step 4: Simplify right side
    647,087.35x = 191,997,596,005.08
  5. Step 5: Solve for x
    x = 191,997,596,005.08/647,087.35
  6. Step 6: Final answer
    x = 296,710.48

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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.