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Finding the Fourth Proportional to 398,644.94, 597,969.57 and 103,156.94

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Solution

The fourth proportional to 398,644.94, 597,969.57 and 103,156.94 is: 154,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,644.94 : 597,969.57 = 103,156.94 : x
  2. Step 2: Convert to fraction form
    398,644.94/597,969.57 = 103,156.94/x
  3. Step 3: Cross multiply
    398,644.94x = 597,969.57 × 103,156.94
  4. Step 4: Simplify right side
    398,644.94x = 61,684,711,054.32
  5. Step 5: Solve for x
    x = 61,684,711,054.32/398,644.94
  6. Step 6: Final answer
    x = 154,735.97

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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.