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Finding the Fourth Proportional to 647,790.90, 971,686.35 and 204,558.90

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Solution

The fourth proportional to 647,790.90, 971,686.35 and 204,558.90 is: 306,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,790.90 : 971,686.35 = 204,558.90 : x
  2. Step 2: Convert to fraction form
    647,790.90/971,686.35 = 204,558.90/x
  3. Step 3: Cross multiply
    647,790.90x = 971,686.35 × 204,558.90
  4. Step 4: Simplify right side
    647,790.90x = 198,767,090,901.02
  5. Step 5: Solve for x
    x = 198,767,090,901.02/647,790.90
  6. Step 6: Final answer
    x = 306,838.35

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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.