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Finding the Fourth Proportional to 298,777.36, 448,235.16 and 132,578.32

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Solution

The fourth proportional to 298,777.36, 448,235.16 and 132,578.32 is: 198,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,777.36 : 448,235.16 = 132,578.32 : x
  2. Step 2: Convert to fraction form
    298,777.36/448,235.16 = 132,578.32/x
  3. Step 3: Cross multiply
    298,777.36x = 448,235.16 × 132,578.32
  4. Step 4: Simplify right side
    298,777.36x = 59,426,264,477.73
  5. Step 5: Solve for x
    x = 59,426,264,477.73/298,777.36
  6. Step 6: Final answer
    x = 198,898.15

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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.