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Finding the Fourth Proportional to 398,957.86, 598,076.18 and 270,916.87

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Solution

The fourth proportional to 398,957.86, 598,076.18 and 270,916.87 is: 406,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,957.86 : 598,076.18 = 270,916.87 : x
  2. Step 2: Convert to fraction form
    398,957.86/598,076.18 = 270,916.87/x
  3. Step 3: Cross multiply
    398,957.86x = 598,076.18 × 270,916.87
  4. Step 4: Simplify right side
    398,957.86x = 162,028,922,362.19
  5. Step 5: Solve for x
    x = 162,028,922,362.19/398,957.86
  6. Step 6: Final answer
    x = 406,130.42

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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.