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Finding the Fourth Proportional to 398,785.56, 598,291.32 and 162,297.96

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Solution

The fourth proportional to 398,785.56, 598,291.32 and 162,297.96 is: 243,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,785.56 : 598,291.32 = 162,297.96 : x
  2. Step 2: Convert to fraction form
    398,785.56/598,291.32 = 162,297.96/x
  3. Step 3: Cross multiply
    398,785.56x = 598,291.32 × 162,297.96
  4. Step 4: Simplify right side
    398,785.56x = 97,101,460,721.71
  5. Step 5: Solve for x
    x = 97,101,460,721.71/398,785.56
  6. Step 6: Final answer
    x = 243,492.92

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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.