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Finding the Fourth Proportional to 288,688.50, 398,387.70 and 166,204.86

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Solution

The fourth proportional to 288,688.50, 398,387.70 and 166,204.86 is: 229,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,688.50 : 398,387.70 = 166,204.86 : x
  2. Step 2: Convert to fraction form
    288,688.50/398,387.70 = 166,204.86/x
  3. Step 3: Cross multiply
    288,688.50x = 398,387.70 × 166,204.86
  4. Step 4: Simplify right side
    288,688.50x = 66,213,971,904.22
  5. Step 5: Solve for x
    x = 66,213,971,904.22/288,688.50
  6. Step 6: Final answer
    x = 229,361.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.