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Finding the Fourth Proportional to 278,888.34, 384,868.91 and 151,563.96

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Solution

The fourth proportional to 278,888.34, 384,868.91 and 151,563.96 is: 209,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,888.34 : 384,868.91 = 151,563.96 : x
  2. Step 2: Convert to fraction form
    278,888.34/384,868.91 = 151,563.96/x
  3. Step 3: Cross multiply
    278,888.34x = 384,868.91 × 151,563.96
  4. Step 4: Simplify right side
    278,888.34x = 58,332,256,080.48
  5. Step 5: Solve for x
    x = 58,332,256,080.48/278,888.34
  6. Step 6: Final answer
    x = 209,159.90

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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.