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Finding the Fourth Proportional to 432,105.30, 646,991.55 and 338,793.30

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Solution

The fourth proportional to 432,105.30, 646,991.55 and 338,793.30 is: 507,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,105.30 : 646,991.55 = 338,793.30 : x
  2. Step 2: Convert to fraction form
    432,105.30/646,991.55 = 338,793.30/x
  3. Step 3: Cross multiply
    432,105.30x = 646,991.55 × 338,793.30
  4. Step 4: Simplify right side
    432,105.30x = 219,196,402,296.62
  5. Step 5: Solve for x
    x = 219,196,402,296.62/432,105.30
  6. Step 6: Final answer
    x = 507,275.43

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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.