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Finding the Fourth Proportional to 298,664.81, 448,062.77 and 219,539.15

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Solution

The fourth proportional to 298,664.81, 448,062.77 and 219,539.15 is: 329,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,664.81 : 448,062.77 = 219,539.15 : x
  2. Step 2: Convert to fraction form
    298,664.81/448,062.77 = 219,539.15/x
  3. Step 3: Cross multiply
    298,664.81x = 448,062.77 × 219,539.15
  4. Step 4: Simplify right side
    298,664.81x = 98,367,319,661.21
  5. Step 5: Solve for x
    x = 98,367,319,661.21/298,664.81
  6. Step 6: Final answer
    x = 329,356.91

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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.