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Finding the Fourth Proportional to 278,658.63, 384,548.99 and 151,334.19

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Solution

The fourth proportional to 278,658.63, 384,548.99 and 151,334.19 is: 208,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,658.63 : 384,548.99 = 151,334.19 : x
  2. Step 2: Convert to fraction form
    278,658.63/384,548.99 = 151,334.19/x
  3. Step 3: Cross multiply
    278,658.63x = 384,548.99 × 151,334.19
  4. Step 4: Simplify right side
    278,658.63x = 58,195,409,160.30
  5. Step 5: Solve for x
    x = 58,195,409,160.30/278,658.63
  6. Step 6: Final answer
    x = 208,841.22

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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.