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Finding the Fourth Proportional to 306,392.72, 422,813 and 185,605.52

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Solution

The fourth proportional to 306,392.72, 422,813 and 185,605.52 is: 256,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,392.72 : 422,813 = 185,605.52 : x
  2. Step 2: Convert to fraction form
    306,392.72/422,813 = 185,605.52/x
  3. Step 3: Cross multiply
    306,392.72x = 422,813 × 185,605.52
  4. Step 4: Simplify right side
    306,392.72x = 78,476,426,727.76
  5. Step 5: Solve for x
    x = 78,476,426,727.76/306,392.72
  6. Step 6: Final answer
    x = 256,130.19

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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.