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Finding the Fourth Proportional to 298,985.76, 448,243.19 and 149,148.93

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Solution

The fourth proportional to 298,985.76, 448,243.19 and 149,148.93 is: 223,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,985.76 : 448,243.19 = 149,148.93 : x
  2. Step 2: Convert to fraction form
    298,985.76/448,243.19 = 149,148.93/x
  3. Step 3: Cross multiply
    298,985.76x = 448,243.19 × 149,148.93
  4. Step 4: Simplify right side
    298,985.76x = 66,854,991,422.54
  5. Step 5: Solve for x
    x = 66,854,991,422.54/298,985.76
  6. Step 6: Final answer
    x = 223,605.94

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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.