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Finding the Fourth Proportional to 298,768.86, 448,285.70 and 156,580.31

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Solution

The fourth proportional to 298,768.86, 448,285.70 and 156,580.31 is: 234,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,768.86 : 448,285.70 = 156,580.31 : x
  2. Step 2: Convert to fraction form
    298,768.86/448,285.70 = 156,580.31/x
  3. Step 3: Cross multiply
    298,768.86x = 448,285.70 × 156,580.31
  4. Step 4: Simplify right side
    298,768.86x = 70,192,715,386.73
  5. Step 5: Solve for x
    x = 70,192,715,386.73/298,768.86
  6. Step 6: Final answer
    x = 234,939.86

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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.