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Finding the Fourth Proportional to 278,232.58, 417,938.98 and 262,035.82

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Solution

The fourth proportional to 278,232.58, 417,938.98 and 262,035.82 is: 393,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,232.58 : 417,938.98 = 262,035.82 : x
  2. Step 2: Convert to fraction form
    278,232.58/417,938.98 = 262,035.82/x
  3. Step 3: Cross multiply
    278,232.58x = 417,938.98 × 262,035.82
  4. Step 4: Simplify right side
    278,232.58x = 109,514,983,334.26
  5. Step 5: Solve for x
    x = 109,514,983,334.26/278,232.58
  6. Step 6: Final answer
    x = 393,609.49

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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.