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Finding the Fourth Proportional to 293,574.74, 405,143.12 and 280,122.64

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Solution

The fourth proportional to 293,574.74, 405,143.12 and 280,122.64 is: 386,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,574.74 : 405,143.12 = 280,122.64 : x
  2. Step 2: Convert to fraction form
    293,574.74/405,143.12 = 280,122.64/x
  3. Step 3: Cross multiply
    293,574.74x = 405,143.12 × 280,122.64
  4. Step 4: Simplify right side
    293,574.74x = 113,489,759,209.54
  5. Step 5: Solve for x
    x = 113,489,759,209.54/293,574.74
  6. Step 6: Final answer
    x = 386,578.76

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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.