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Finding the Fourth Proportional to 294,425.80, 406,275.32 and 165,338.12

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Solution

The fourth proportional to 294,425.80, 406,275.32 and 165,338.12 is: 228,148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,425.80 : 406,275.32 = 165,338.12 : x
  2. Step 2: Convert to fraction form
    294,425.80/406,275.32 = 165,338.12/x
  3. Step 3: Cross multiply
    294,425.80x = 406,275.32 × 165,338.12
  4. Step 4: Simplify right side
    294,425.80x = 67,172,797,611.20
  5. Step 5: Solve for x
    x = 67,172,797,611.20/294,425.80
  6. Step 6: Final answer
    x = 228,148.48

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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.