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Finding the Fourth Proportional to 278,065.98, 417,043.62 and 164,256.66

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Solution

The fourth proportional to 278,065.98, 417,043.62 and 164,256.66 is: 246,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,065.98 : 417,043.62 = 164,256.66 : x
  2. Step 2: Convert to fraction form
    278,065.98/417,043.62 = 164,256.66/x
  3. Step 3: Cross multiply
    278,065.98x = 417,043.62 × 164,256.66
  4. Step 4: Simplify right side
    278,065.98x = 68,502,192,095.51
  5. Step 5: Solve for x
    x = 68,502,192,095.51/278,065.98
  6. Step 6: Final answer
    x = 246,352.29

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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.