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Finding the Fourth Proportional to 280,210, 386,689.84 and 179,608.24

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Solution

The fourth proportional to 280,210, 386,689.84 and 179,608.24 is: 247,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,210 : 386,689.84 = 179,608.24 : x
  2. Step 2: Convert to fraction form
    280,210/386,689.84 = 179,608.24/x
  3. Step 3: Cross multiply
    280,210x = 386,689.84 × 179,608.24
  4. Step 4: Simplify right side
    280,210x = 69,452,681,588.28
  5. Step 5: Solve for x
    x = 69,452,681,588.28/280,210
  6. Step 6: Final answer
    x = 247,859.40

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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.