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Finding the Fourth Proportional to 398,656.12, 598,219.86 and 161,980.60

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Solution

The fourth proportional to 398,656.12, 598,219.86 and 161,980.60 is: 243,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,656.12 : 598,219.86 = 161,980.60 : x
  2. Step 2: Convert to fraction form
    398,656.12/598,219.86 = 161,980.60/x
  3. Step 3: Cross multiply
    398,656.12x = 598,219.86 × 161,980.60
  4. Step 4: Simplify right side
    398,656.12x = 96,900,011,854.72
  5. Step 5: Solve for x
    x = 96,900,011,854.72/398,656.12
  6. Step 6: Final answer
    x = 243,066.66

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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.