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Finding the Fourth Proportional to 398,179.60, 596,808.60 and 161,405.20

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Solution

The fourth proportional to 398,179.60, 596,808.60 and 161,405.20 is: 241,921.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,179.60 : 596,808.60 = 161,405.20 : x
  2. Step 2: Convert to fraction form
    398,179.60/596,808.60 = 161,405.20/x
  3. Step 3: Cross multiply
    398,179.60x = 596,808.60 × 161,405.20
  4. Step 4: Simplify right side
    398,179.60x = 96,328,011,444.72
  5. Step 5: Solve for x
    x = 96,328,011,444.72/398,179.60
  6. Step 6: Final answer
    x = 241,921.01

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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.