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Finding the Fourth Proportional to 298,864.92, 448,053.09 and 139,040.48

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Solution

The fourth proportional to 298,864.92, 448,053.09 and 139,040.48 is: 208,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,864.92 : 448,053.09 = 139,040.48 : x
  2. Step 2: Convert to fraction form
    298,864.92/448,053.09 = 139,040.48/x
  3. Step 3: Cross multiply
    298,864.92x = 448,053.09 × 139,040.48
  4. Step 4: Simplify right side
    298,864.92x = 62,297,516,699.08
  5. Step 5: Solve for x
    x = 62,297,516,699.08/298,864.92
  6. Step 6: Final answer
    x = 208,447.07

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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.