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Finding the Fourth Proportional to 647,718.70, 971,578.05 and 204,429.10

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Solution

The fourth proportional to 647,718.70, 971,578.05 and 204,429.10 is: 306,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,718.70 : 971,578.05 = 204,429.10 : x
  2. Step 2: Convert to fraction form
    647,718.70/971,578.05 = 204,429.10/x
  3. Step 3: Cross multiply
    647,718.70x = 971,578.05 × 204,429.10
  4. Step 4: Simplify right side
    647,718.70x = 198,618,826,341.26
  5. Step 5: Solve for x
    x = 198,618,826,341.26/647,718.70
  6. Step 6: Final answer
    x = 306,643.65

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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.