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Finding the Fourth Proportional to 280,100.24, 386,571 and 159,259.63

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Solution

The fourth proportional to 280,100.24, 386,571 and 159,259.63 is: 219,796.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,100.24 : 386,571 = 159,259.63 : x
  2. Step 2: Convert to fraction form
    280,100.24/386,571 = 159,259.63/x
  3. Step 3: Cross multiply
    280,100.24x = 386,571 × 159,259.63
  4. Step 4: Simplify right side
    280,100.24x = 61,565,152,495.88
  5. Step 5: Solve for x
    x = 61,565,152,495.88/280,100.24
  6. Step 6: Final answer
    x = 219,796.86

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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.