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Finding the Fourth Proportional to 280,289.86, 420,184.74 and 102,755.42

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Solution

The fourth proportional to 280,289.86, 420,184.74 and 102,755.42 is: 154,041.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,289.86 : 420,184.74 = 102,755.42 : x
  2. Step 2: Convert to fraction form
    280,289.86/420,184.74 = 102,755.42/x
  3. Step 3: Cross multiply
    280,289.86x = 420,184.74 × 102,755.42
  4. Step 4: Simplify right side
    280,289.86x = 43,176,259,436.29
  5. Step 5: Solve for x
    x = 43,176,259,436.29/280,289.86
  6. Step 6: Final answer
    x = 154,041.46

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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.