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Finding the Fourth Proportional to 278,811.72, 384,751.62 and 151,484.58

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Solution

The fourth proportional to 278,811.72, 384,751.62 and 151,484.58 is: 209,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,811.72 : 384,751.62 = 151,484.58 : x
  2. Step 2: Convert to fraction form
    278,811.72/384,751.62 = 151,484.58/x
  3. Step 3: Cross multiply
    278,811.72x = 384,751.62 × 151,484.58
  4. Step 4: Simplify right side
    278,811.72x = 58,283,937,560.02
  5. Step 5: Solve for x
    x = 58,283,937,560.02/278,811.72
  6. Step 6: Final answer
    x = 209,044.07

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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.