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Finding the Fourth Proportional to 278,054.94, 417,115.22 and 208,377.12

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Solution

The fourth proportional to 278,054.94, 417,115.22 and 208,377.12 is: 312,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,054.94 : 417,115.22 = 208,377.12 : x
  2. Step 2: Convert to fraction form
    278,054.94/417,115.22 = 208,377.12/x
  3. Step 3: Cross multiply
    278,054.94x = 417,115.22 × 208,377.12
  4. Step 4: Simplify right side
    278,054.94x = 86,917,267,209.88
  5. Step 5: Solve for x
    x = 86,917,267,209.88/278,054.94
  6. Step 6: Final answer
    x = 312,590.26

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1.5x scale

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.