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Finding the Fourth Proportional to 298,911.92, 448,631.06 and 156,858.65

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Solution

The fourth proportional to 298,911.92, 448,631.06 and 156,858.65 is: 235,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,911.92 : 448,631.06 = 156,858.65 : x
  2. Step 2: Convert to fraction form
    298,911.92/448,631.06 = 156,858.65/x
  3. Step 3: Cross multiply
    298,911.92x = 448,631.06 × 156,858.65
  4. Step 4: Simplify right side
    298,911.92x = 70,371,659,392.22
  5. Step 5: Solve for x
    x = 70,371,659,392.22/298,911.92
  6. Step 6: Final answer
    x = 235,426.08

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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.