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Finding the Fourth Proportional to 485,727.09, 728,579.70 and 219,416.10

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Solution

The fourth proportional to 485,727.09, 728,579.70 and 219,416.10 is: 329,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,727.09 : 728,579.70 = 219,416.10 : x
  2. Step 2: Convert to fraction form
    485,727.09/728,579.70 = 219,416.10/x
  3. Step 3: Cross multiply
    485,727.09x = 728,579.70 × 219,416.10
  4. Step 4: Simplify right side
    485,727.09x = 159,862,116,313.17
  5. Step 5: Solve for x
    x = 159,862,116,313.17/485,727.09
  6. Step 6: Final answer
    x = 329,119.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.