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Finding the Fourth Proportional to 306,145.89, 422,490.47 and 185,309.28

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Solution

The fourth proportional to 306,145.89, 422,490.47 and 185,309.28 is: 255,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,145.89 : 422,490.47 = 185,309.28 : x
  2. Step 2: Convert to fraction form
    306,145.89/422,490.47 = 185,309.28/x
  3. Step 3: Cross multiply
    306,145.89x = 422,490.47 × 185,309.28
  4. Step 4: Simplify right side
    306,145.89x = 78,291,403,876.02
  5. Step 5: Solve for x
    x = 78,291,403,876.02/306,145.89
  6. Step 6: Final answer
    x = 255,732.34

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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.