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Finding the Fourth Proportional to 298,864.89, 448,053.12 and 139,040.55

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Solution

The fourth proportional to 298,864.89, 448,053.12 and 139,040.55 is: 208,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,864.89 : 448,053.12 = 139,040.55 : x
  2. Step 2: Convert to fraction form
    298,864.89/448,053.12 = 139,040.55/x
  3. Step 3: Cross multiply
    298,864.89x = 448,053.12 × 139,040.55
  4. Step 4: Simplify right side
    298,864.89x = 62,297,552,234.02
  5. Step 5: Solve for x
    x = 62,297,552,234.02/298,864.89
  6. Step 6: Final answer
    x = 208,447.21

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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.