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Finding the Fourth Proportional to 278,771.76, 384,712.56 and 164,058.48

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Solution

The fourth proportional to 278,771.76, 384,712.56 and 164,058.48 is: 226,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,771.76 : 384,712.56 = 164,058.48 : x
  2. Step 2: Convert to fraction form
    278,771.76/384,712.56 = 164,058.48/x
  3. Step 3: Cross multiply
    278,771.76x = 384,712.56 × 164,058.48
  4. Step 4: Simplify right side
    278,771.76x = 63,115,357,830.51
  5. Step 5: Solve for x
    x = 63,115,357,830.51/278,771.76
  6. Step 6: Final answer
    x = 226,405.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.