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Finding the Fourth Proportional to 294,384.60, 406,260.56 and 165,345.78

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Solution

The fourth proportional to 294,384.60, 406,260.56 and 165,345.78 is: 228,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,384.60 : 406,260.56 = 165,345.78 : x
  2. Step 2: Convert to fraction form
    294,384.60/406,260.56 = 165,345.78/x
  3. Step 3: Cross multiply
    294,384.60x = 406,260.56 × 165,345.78
  4. Step 4: Simplify right side
    294,384.60x = 67,173,469,176.44
  5. Step 5: Solve for x
    x = 67,173,469,176.44/294,384.60
  6. Step 6: Final answer
    x = 228,182.69

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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.