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Finding the Fourth Proportional to 278,730, 384,654.42 and 151,405.56

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Solution

The fourth proportional to 278,730, 384,654.42 and 151,405.56 is: 208,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,730 : 384,654.42 = 151,405.56 : x
  2. Step 2: Convert to fraction form
    278,730/384,654.42 = 151,405.56/x
  3. Step 3: Cross multiply
    278,730x = 384,654.42 × 151,405.56
  4. Step 4: Simplify right side
    278,730x = 58,238,817,866.58
  5. Step 5: Solve for x
    x = 58,238,817,866.58/278,730
  6. Step 6: Final answer
    x = 208,943.49

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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.