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Finding the Fourth Proportional to 398,528.90, 597,953.55 and 161,890.10

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Solution

The fourth proportional to 398,528.90, 597,953.55 and 161,890.10 is: 242,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,528.90 : 597,953.55 = 161,890.10 : x
  2. Step 2: Convert to fraction form
    398,528.90/597,953.55 = 161,890.10/x
  3. Step 3: Cross multiply
    398,528.90x = 597,953.55 × 161,890.10
  4. Step 4: Simplify right side
    398,528.90x = 96,802,760,004.86
  5. Step 5: Solve for x
    x = 96,802,760,004.86/398,528.90
  6. Step 6: Final answer
    x = 242,900.23

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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.