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Finding the Fourth Proportional to 398,529.90, 597,955.05 and 161,891.10

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Solution

The fourth proportional to 398,529.90, 597,955.05 and 161,891.10 is: 242,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,529.90 : 597,955.05 = 161,891.10 : x
  2. Step 2: Convert to fraction form
    398,529.90/597,955.05 = 161,891.10/x
  3. Step 3: Cross multiply
    398,529.90x = 597,955.05 × 161,891.10
  4. Step 4: Simplify right side
    398,529.90x = 96,803,600,795.06
  5. Step 5: Solve for x
    x = 96,803,600,795.06/398,529.90
  6. Step 6: Final answer
    x = 242,901.73

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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.