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Finding the Fourth Proportional to 278,294.74, 384,047.70 and 150,971.24

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Solution

The fourth proportional to 278,294.74, 384,047.70 and 150,971.24 is: 208,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,294.74 : 384,047.70 = 150,971.24 : x
  2. Step 2: Convert to fraction form
    278,294.74/384,047.70 = 150,971.24/x
  3. Step 3: Cross multiply
    278,294.74x = 384,047.70 × 150,971.24
  4. Step 4: Simplify right side
    278,294.74x = 57,980,157,488.15
  5. Step 5: Solve for x
    x = 57,980,157,488.15/278,294.74
  6. Step 6: Final answer
    x = 208,340.83

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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.