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Finding the Fourth Proportional to 280,187.44, 386,650.98 and 152,863

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Solution

The fourth proportional to 280,187.44, 386,650.98 and 152,863 is: 210,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,187.44 : 386,650.98 = 152,863 : x
  2. Step 2: Convert to fraction form
    280,187.44/386,650.98 = 152,863/x
  3. Step 3: Cross multiply
    280,187.44x = 386,650.98 × 152,863
  4. Step 4: Simplify right side
    280,187.44x = 59,104,628,755.74
  5. Step 5: Solve for x
    x = 59,104,628,755.74/280,187.44
  6. Step 6: Final answer
    x = 210,946.75

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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.