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Finding the Fourth Proportional to 280,098.86, 419,932.89 and 145,018.13

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Solution

The fourth proportional to 280,098.86, 419,932.89 and 145,018.13 is: 217,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098.86 : 419,932.89 = 145,018.13 : x
  2. Step 2: Convert to fraction form
    280,098.86/419,932.89 = 145,018.13/x
  3. Step 3: Cross multiply
    280,098.86x = 419,932.89 × 145,018.13
  4. Step 4: Simplify right side
    280,098.86x = 60,897,880,333.63
  5. Step 5: Solve for x
    x = 60,897,880,333.63/280,098.86
  6. Step 6: Final answer
    x = 217,415.67

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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.