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Finding the Fourth Proportional to 647,869.76, 971,813.28 and 227,157.92

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Solution

The fourth proportional to 647,869.76, 971,813.28 and 227,157.92 is: 340,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,869.76 : 971,813.28 = 227,157.92 : x
  2. Step 2: Convert to fraction form
    647,869.76/971,813.28 = 227,157.92/x
  3. Step 3: Cross multiply
    647,869.76x = 971,813.28 × 227,157.92
  4. Step 4: Simplify right side
    647,869.76x = 220,755,083,313.18
  5. Step 5: Solve for x
    x = 220,755,083,313.18/647,869.76
  6. Step 6: Final answer
    x = 340,739.91

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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.