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Finding the Fourth Proportional to 278,355.52, 417,008.32 and 215,719.84

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Solution

The fourth proportional to 278,355.52, 417,008.32 and 215,719.84 is: 323,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,355.52 : 417,008.32 = 215,719.84 : x
  2. Step 2: Convert to fraction form
    278,355.52/417,008.32 = 215,719.84/x
  3. Step 3: Cross multiply
    278,355.52x = 417,008.32 × 215,719.84
  4. Step 4: Simplify right side
    278,355.52x = 89,956,968,069.07
  5. Step 5: Solve for x
    x = 89,956,968,069.07/278,355.52
  6. Step 6: Final answer
    x = 323,172.93

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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.