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Finding the Fourth Proportional to 288,687.50, 398,386.32 and 166,203.86

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Solution

The fourth proportional to 288,687.50, 398,386.32 and 166,203.86 is: 229,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,687.50 : 398,386.32 = 166,203.86 : x
  2. Step 2: Convert to fraction form
    288,687.50/398,386.32 = 166,203.86/x
  3. Step 3: Cross multiply
    288,687.50x = 398,386.32 × 166,203.86
  4. Step 4: Simplify right side
    288,687.50x = 66,213,344,155.20
  5. Step 5: Solve for x
    x = 66,213,344,155.20/288,687.50
  6. Step 6: Final answer
    x = 229,359.93

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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.