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Finding the Fourth Proportional to 278,214.92, 417,363.96 and 100,763.36

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Solution

The fourth proportional to 278,214.92, 417,363.96 and 100,763.36 is: 151,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,214.92 : 417,363.96 = 100,763.36 : x
  2. Step 2: Convert to fraction form
    278,214.92/417,363.96 = 100,763.36/x
  3. Step 3: Cross multiply
    278,214.92x = 417,363.96 × 100,763.36
  4. Step 4: Simplify right side
    278,214.92x = 42,054,994,952.51
  5. Step 5: Solve for x
    x = 42,054,994,952.51/278,214.92
  6. Step 6: Final answer
    x = 151,160.10

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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.