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Finding the Fourth Proportional to 280,978, 421,379.52 and 93,945.76

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Solution

The fourth proportional to 280,978, 421,379.52 and 93,945.76 is: 140,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,978 : 421,379.52 = 93,945.76 : x
  2. Step 2: Convert to fraction form
    280,978/421,379.52 = 93,945.76/x
  3. Step 3: Cross multiply
    280,978x = 421,379.52 × 93,945.76
  4. Step 4: Simplify right side
    280,978x = 39,586,819,254.84
  5. Step 5: Solve for x
    x = 39,586,819,254.84/280,978
  6. Step 6: Final answer
    x = 140,889.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.