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Finding the Fourth Proportional to 398,790.56, 598,298.82 and 162,302.96

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Solution

The fourth proportional to 398,790.56, 598,298.82 and 162,302.96 is: 243,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,790.56 : 598,298.82 = 162,302.96 : x
  2. Step 2: Convert to fraction form
    398,790.56/598,298.82 = 162,302.96/x
  3. Step 3: Cross multiply
    398,790.56x = 598,298.82 × 162,302.96
  4. Step 4: Simplify right side
    398,790.56x = 97,105,669,450.51
  5. Step 5: Solve for x
    x = 97,105,669,450.51/398,790.56
  6. Step 6: Final answer
    x = 243,500.42

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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.