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Finding the Fourth Proportional to 647,730.40, 971,595.60 and 204,498.40

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Solution

The fourth proportional to 647,730.40, 971,595.60 and 204,498.40 is: 306,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,730.40 : 971,595.60 = 204,498.40 : x
  2. Step 2: Convert to fraction form
    647,730.40/971,595.60 = 204,498.40/x
  3. Step 3: Cross multiply
    647,730.40x = 971,595.60 × 204,498.40
  4. Step 4: Simplify right side
    647,730.40x = 198,689,745,647.04
  5. Step 5: Solve for x
    x = 198,689,745,647.04/647,730.40
  6. Step 6: Final answer
    x = 306,747.60

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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.