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Finding the Fourth Proportional to 278,078.94, 417,242.48 and 128,238.80

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Solution

The fourth proportional to 278,078.94, 417,242.48 and 128,238.80 is: 192,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,078.94 : 417,242.48 = 128,238.80 : x
  2. Step 2: Convert to fraction form
    278,078.94/417,242.48 = 128,238.80/x
  3. Step 3: Cross multiply
    278,078.94x = 417,242.48 × 128,238.80
  4. Step 4: Simplify right side
    278,078.94x = 53,506,672,216.82
  5. Step 5: Solve for x
    x = 53,506,672,216.82/278,078.94
  6. Step 6: Final answer
    x = 192,415.41

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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.