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Finding the Fourth Proportional to 561,147.62, 842,056.76 and 206,197.52

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Solution

The fourth proportional to 561,147.62, 842,056.76 and 206,197.52 is: 309,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,147.62 : 842,056.76 = 206,197.52 : x
  2. Step 2: Convert to fraction form
    561,147.62/842,056.76 = 206,197.52/x
  3. Step 3: Cross multiply
    561,147.62x = 842,056.76 × 206,197.52
  4. Step 4: Simplify right side
    561,147.62x = 173,630,011,916.45
  5. Step 5: Solve for x
    x = 173,630,011,916.45/561,147.62
  6. Step 6: Final answer
    x = 309,419.50

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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.