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Finding the Fourth Proportional to 278,412.93, 384,218.37 and 163,670.49

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Solution

The fourth proportional to 278,412.93, 384,218.37 and 163,670.49 is: 225,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,412.93 : 384,218.37 = 163,670.49 : x
  2. Step 2: Convert to fraction form
    278,412.93/384,218.37 = 163,670.49/x
  3. Step 3: Cross multiply
    278,412.93x = 384,218.37 × 163,670.49
  4. Step 4: Simplify right side
    278,412.93x = 62,885,208,884.90
  5. Step 5: Solve for x
    x = 62,885,208,884.90/278,412.93
  6. Step 6: Final answer
    x = 225,870.29

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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.