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Finding the Fourth Proportional to 280,978.77, 421,477.38 and 103,444.26

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Solution

The fourth proportional to 280,978.77, 421,477.38 and 103,444.26 is: 155,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,978.77 : 421,477.38 = 103,444.26 : x
  2. Step 2: Convert to fraction form
    280,978.77/421,477.38 = 103,444.26/x
  3. Step 3: Cross multiply
    280,978.77x = 421,477.38 × 103,444.26
  4. Step 4: Simplify right side
    280,978.77x = 43,599,415,680.84
  5. Step 5: Solve for x
    x = 43,599,415,680.84/280,978.77
  6. Step 6: Final answer
    x = 155,169.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.