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Finding the Fourth Proportional to 280,694.64, 387,353.88 and 153,371.28

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Solution

The fourth proportional to 280,694.64, 387,353.88 and 153,371.28 is: 211,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,694.64 : 387,353.88 = 153,371.28 : x
  2. Step 2: Convert to fraction form
    280,694.64/387,353.88 = 153,371.28/x
  3. Step 3: Cross multiply
    280,694.64x = 387,353.88 × 153,371.28
  4. Step 4: Simplify right side
    280,694.64x = 59,408,960,388.57
  5. Step 5: Solve for x
    x = 59,408,960,388.57/280,694.64
  6. Step 6: Final answer
    x = 211,649.79

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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.