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Finding the Fourth Proportional to 420,287.29, 580,012.74 and 239,015.77

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Solution

The fourth proportional to 420,287.29, 580,012.74 and 239,015.77 is: 329,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,287.29 : 580,012.74 = 239,015.77 : x
  2. Step 2: Convert to fraction form
    420,287.29/580,012.74 = 239,015.77/x
  3. Step 3: Cross multiply
    420,287.29x = 580,012.74 × 239,015.77
  4. Step 4: Simplify right side
    420,287.29x = 138,632,191,660.91
  5. Step 5: Solve for x
    x = 138,632,191,660.91/420,287.29
  6. Step 6: Final answer
    x = 329,851.02

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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.