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Finding the Fourth Proportional to 285,220.80, 393,646.20 and 164,338.68

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Solution

The fourth proportional to 285,220.80, 393,646.20 and 164,338.68 is: 226,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,220.80 : 393,646.20 = 164,338.68 : x
  2. Step 2: Convert to fraction form
    285,220.80/393,646.20 = 164,338.68/x
  3. Step 3: Cross multiply
    285,220.80x = 393,646.20 × 164,338.68
  4. Step 4: Simplify right side
    285,220.80x = 64,691,296,895.02
  5. Step 5: Solve for x
    x = 64,691,296,895.02/285,220.80
  6. Step 6: Final answer
    x = 226,811.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.