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Finding the Fourth Proportional to 647,280.40, 970,747.80 and 198,000.40

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Solution

The fourth proportional to 647,280.40, 970,747.80 and 198,000.40 is: 296,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,280.40 : 970,747.80 = 198,000.40 : x
  2. Step 2: Convert to fraction form
    647,280.40/970,747.80 = 198,000.40/x
  3. Step 3: Cross multiply
    647,280.40x = 970,747.80 × 198,000.40
  4. Step 4: Simplify right side
    647,280.40x = 192,208,452,699.12
  5. Step 5: Solve for x
    x = 192,208,452,699.12/647,280.40
  6. Step 6: Final answer
    x = 296,947.74

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1.5x scale

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.