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Finding the Fourth Proportional to 407,862.57, 562,693.32 and 300,687.42

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Solution

The fourth proportional to 407,862.57, 562,693.32 and 300,687.42 is: 414,832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,862.57 : 562,693.32 = 300,687.42 : x
  2. Step 2: Convert to fraction form
    407,862.57/562,693.32 = 300,687.42/x
  3. Step 3: Cross multiply
    407,862.57x = 562,693.32 × 300,687.42
  4. Step 4: Simplify right side
    407,862.57x = 169,194,802,642.03
  5. Step 5: Solve for x
    x = 169,194,802,642.03/407,862.57
  6. Step 6: Final answer
    x = 414,832.88

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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.