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Finding the Fourth Proportional to 278,387.34, 384,175.55 and 151,062.94

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Solution

The fourth proportional to 278,387.34, 384,175.55 and 151,062.94 is: 208,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,387.34 : 384,175.55 = 151,062.94 : x
  2. Step 2: Convert to fraction form
    278,387.34/384,175.55 = 151,062.94/x
  3. Step 3: Cross multiply
    278,387.34x = 384,175.55 × 151,062.94
  4. Step 4: Simplify right side
    278,387.34x = 58,034,688,059.12
  5. Step 5: Solve for x
    x = 58,034,688,059.12/278,387.34
  6. Step 6: Final answer
    x = 208,467.41

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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.