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Finding the Fourth Proportional to 398,446.90, 597,830.55 and 161,808.10

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Solution

The fourth proportional to 398,446.90, 597,830.55 and 161,808.10 is: 242,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,446.90 : 597,830.55 = 161,808.10 : x
  2. Step 2: Convert to fraction form
    398,446.90/597,830.55 = 161,808.10/x
  3. Step 3: Cross multiply
    398,446.90x = 597,830.55 × 161,808.10
  4. Step 4: Simplify right side
    398,446.90x = 96,733,825,417.46
  5. Step 5: Solve for x
    x = 96,733,825,417.46/398,446.90
  6. Step 6: Final answer
    x = 242,777.21

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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.