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Finding the Fourth Proportional to 280,565.94, 420,571.88 and 111,984.70

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Solution

The fourth proportional to 280,565.94, 420,571.88 and 111,984.70 is: 167,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,565.94 : 420,571.88 = 111,984.70 : x
  2. Step 2: Convert to fraction form
    280,565.94/420,571.88 = 111,984.70/x
  3. Step 3: Cross multiply
    280,565.94x = 420,571.88 × 111,984.70
  4. Step 4: Simplify right side
    280,565.94x = 47,097,615,810.24
  5. Step 5: Solve for x
    x = 47,097,615,810.24/280,565.94
  6. Step 6: Final answer
    x = 167,866.48

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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.