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Finding the Fourth Proportional to 278,698.34, 384,605.73 and 151,373.97

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Solution

The fourth proportional to 278,698.34, 384,605.73 and 151,373.97 is: 208,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,698.34 : 384,605.73 = 151,373.97 : x
  2. Step 2: Convert to fraction form
    278,698.34/384,605.73 = 151,373.97/x
  3. Step 3: Cross multiply
    278,698.34x = 384,605.73 × 151,373.97
  4. Step 4: Simplify right side
    278,698.34x = 58,219,296,234.85
  5. Step 5: Solve for x
    x = 58,219,296,234.85/278,698.34
  6. Step 6: Final answer
    x = 208,897.18

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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.