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Finding the Fourth Proportional to 461,208.60, 636,371.10 and 280,015.92

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Solution

The fourth proportional to 461,208.60, 636,371.10 and 280,015.92 is: 386,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,208.60 : 636,371.10 = 280,015.92 : x
  2. Step 2: Convert to fraction form
    461,208.60/636,371.10 = 280,015.92/x
  3. Step 3: Cross multiply
    461,208.60x = 636,371.10 × 280,015.92
  4. Step 4: Simplify right side
    461,208.60x = 178,194,039,027.91
  5. Step 5: Solve for x
    x = 178,194,039,027.91/461,208.60
  6. Step 6: Final answer
    x = 386,363.22

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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.