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Finding the Fourth Proportional to 278,045.35, 417,068.03 and 100,558.15

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Solution

The fourth proportional to 278,045.35, 417,068.03 and 100,558.15 is: 150,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045.35 : 417,068.03 = 100,558.15 : x
  2. Step 2: Convert to fraction form
    278,045.35/417,068.03 = 100,558.15/x
  3. Step 3: Cross multiply
    278,045.35x = 417,068.03 × 100,558.15
  4. Step 4: Simplify right side
    278,045.35x = 41,939,589,018.15
  5. Step 5: Solve for x
    x = 41,939,589,018.15/278,045.35
  6. Step 6: Final answer
    x = 150,837.23

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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.