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Finding the Fourth Proportional to 288,464.69, 398,080.28 and 159,399.57

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Solution

The fourth proportional to 288,464.69, 398,080.28 and 159,399.57 is: 219,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,464.69 : 398,080.28 = 159,399.57 : x
  2. Step 2: Convert to fraction form
    288,464.69/398,080.28 = 159,399.57/x
  3. Step 3: Cross multiply
    288,464.69x = 398,080.28 × 159,399.57
  4. Step 4: Simplify right side
    288,464.69x = 63,453,825,457.48
  5. Step 5: Solve for x
    x = 63,453,825,457.48/288,464.69
  6. Step 6: Final answer
    x = 219,970.86

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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.