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Finding the Fourth Proportional to 278,358.51, 384,133.39 and 151,034.11

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Solution

The fourth proportional to 278,358.51, 384,133.39 and 151,034.11 is: 208,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,358.51 : 384,133.39 = 151,034.11 : x
  2. Step 2: Convert to fraction form
    278,358.51/384,133.39 = 151,034.11/x
  3. Step 3: Cross multiply
    278,358.51x = 384,133.39 × 151,034.11
  4. Step 4: Simplify right side
    278,358.51x = 58,017,243,757.59
  5. Step 5: Solve for x
    x = 58,017,243,757.59/278,358.51
  6. Step 6: Final answer
    x = 208,426.33

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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.