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Finding the Fourth Proportional to 287,986, 397,419.54 and 160,661.44

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Solution

The fourth proportional to 287,986, 397,419.54 and 160,661.44 is: 221,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,986 : 397,419.54 = 160,661.44 : x
  2. Step 2: Convert to fraction form
    287,986/397,419.54 = 160,661.44/x
  3. Step 3: Cross multiply
    287,986x = 397,419.54 × 160,661.44
  4. Step 4: Simplify right side
    287,986x = 63,849,995,580.54
  5. Step 5: Solve for x
    x = 63,849,995,580.54/287,986
  6. Step 6: Final answer
    x = 221,712.15

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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.