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Finding the Fourth Proportional to 278,084.64, 383,741.43 and 157,218.26

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Solution

The fourth proportional to 278,084.64, 383,741.43 and 157,218.26 is: 216,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,084.64 : 383,741.43 = 157,218.26 : x
  2. Step 2: Convert to fraction form
    278,084.64/383,741.43 = 157,218.26/x
  3. Step 3: Cross multiply
    278,084.64x = 383,741.43 × 157,218.26
  4. Step 4: Simplify right side
    278,084.64x = 60,331,159,914.51
  5. Step 5: Solve for x
    x = 60,331,159,914.51/278,084.64
  6. Step 6: Final answer
    x = 216,952.51

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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.