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Finding the Fourth Proportional to 288,533.36, 398,163.67 and 159,465.17

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Solution

The fourth proportional to 288,533.36, 398,163.67 and 159,465.17 is: 220,055.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,533.36 : 398,163.67 = 159,465.17 : x
  2. Step 2: Convert to fraction form
    288,533.36/398,163.67 = 159,465.17/x
  3. Step 3: Cross multiply
    288,533.36x = 398,163.67 × 159,465.17
  4. Step 4: Simplify right side
    288,533.36x = 63,493,237,921.12
  5. Step 5: Solve for x
    x = 63,493,237,921.12/288,533.36
  6. Step 6: Final answer
    x = 220,055.10

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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.