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Finding the Fourth Proportional to 278,502.42, 384,333.01 and 151,178.02

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Solution

The fourth proportional to 278,502.42, 384,333.01 and 151,178.02 is: 208,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,502.42 : 384,333.01 = 151,178.02 : x
  2. Step 2: Convert to fraction form
    278,502.42/384,333.01 = 151,178.02/x
  3. Step 3: Cross multiply
    278,502.42x = 384,333.01 × 151,178.02
  4. Step 4: Simplify right side
    278,502.42x = 58,102,703,472.44
  5. Step 5: Solve for x
    x = 58,102,703,472.44/278,502.42
  6. Step 6: Final answer
    x = 208,625.49

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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.