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Finding the Fourth Proportional to 313,203, 432,058.44 and 198,287.04

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Solution

The fourth proportional to 313,203, 432,058.44 and 198,287.04 is: 273,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,203 : 432,058.44 = 198,287.04 : x
  2. Step 2: Convert to fraction form
    313,203/432,058.44 = 198,287.04/x
  3. Step 3: Cross multiply
    313,203x = 432,058.44 × 198,287.04
  4. Step 4: Simplify right side
    313,203x = 85,671,589,174.62
  5. Step 5: Solve for x
    x = 85,671,589,174.62/313,203
  6. Step 6: Final answer
    x = 273,533.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.