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Finding the Fourth Proportional to 647,813.40, 971,720.10 and 198,530.70

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Solution

The fourth proportional to 647,813.40, 971,720.10 and 198,530.70 is: 297,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,813.40 : 971,720.10 = 198,530.70 : x
  2. Step 2: Convert to fraction form
    647,813.40/971,720.10 = 198,530.70/x
  3. Step 3: Cross multiply
    647,813.40x = 971,720.10 × 198,530.70
  4. Step 4: Simplify right side
    647,813.40x = 192,916,271,657.07
  5. Step 5: Solve for x
    x = 192,916,271,657.07/647,813.40
  6. Step 6: Final answer
    x = 297,796.05

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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.