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Finding the Fourth Proportional to 286,857.28, 395,857.42 and 159,530.14

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Solution

The fourth proportional to 286,857.28, 395,857.42 and 159,530.14 is: 220,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,857.28 : 395,857.42 = 159,530.14 : x
  2. Step 2: Convert to fraction form
    286,857.28/395,857.42 = 159,530.14/x
  3. Step 3: Cross multiply
    286,857.28x = 395,857.42 × 159,530.14
  4. Step 4: Simplify right side
    286,857.28x = 63,151,189,632.64
  5. Step 5: Solve for x
    x = 63,151,189,632.64/286,857.28
  6. Step 6: Final answer
    x = 220,148.46

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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.