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Finding the Fourth Proportional to 198,428.37, 297,643.37 and 48,669.63

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Solution

The fourth proportional to 198,428.37, 297,643.37 and 48,669.63 is: 73,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,428.37 : 297,643.37 = 48,669.63 : x
  2. Step 2: Convert to fraction form
    198,428.37/297,643.37 = 48,669.63/x
  3. Step 3: Cross multiply
    198,428.37x = 297,643.37 × 48,669.63
  4. Step 4: Simplify right side
    198,428.37x = 14,486,192,446.51
  5. Step 5: Solve for x
    x = 14,486,192,446.51/198,428.37
  6. Step 6: Final answer
    x = 73,004.64

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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.