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Finding the Fourth Proportional to 280,285.86, 420,178.74 and 102,751.41

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Solution

The fourth proportional to 280,285.86, 420,178.74 and 102,751.41 is: 154,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,285.86 : 420,178.74 = 102,751.41 : x
  2. Step 2: Convert to fraction form
    280,285.86/420,178.74 = 102,751.41/x
  3. Step 3: Cross multiply
    280,285.86x = 420,178.74 × 102,751.41
  4. Step 4: Simplify right side
    280,285.86x = 43,173,957,987.02
  5. Step 5: Solve for x
    x = 43,173,957,987.02/280,285.86
  6. Step 6: Final answer
    x = 154,035.45

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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.