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Finding the Fourth Proportional to 298,893.71, 448,243.07 and 99,160.47

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Solution

The fourth proportional to 298,893.71, 448,243.07 and 99,160.47 is: 148,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,893.71 : 448,243.07 = 99,160.47 : x
  2. Step 2: Convert to fraction form
    298,893.71/448,243.07 = 99,160.47/x
  3. Step 3: Cross multiply
    298,893.71x = 448,243.07 × 99,160.47
  4. Step 4: Simplify right side
    298,893.71x = 44,447,992,999.64
  5. Step 5: Solve for x
    x = 44,447,992,999.64/298,893.71
  6. Step 6: Final answer
    x = 148,708.36

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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.