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Finding the Fourth Proportional to 285,401.16, 427,707.84 and 215,203.32

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Solution

The fourth proportional to 285,401.16, 427,707.84 and 215,203.32 is: 322,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,401.16 : 427,707.84 = 215,203.32 : x
  2. Step 2: Convert to fraction form
    285,401.16/427,707.84 = 215,203.32/x
  3. Step 3: Cross multiply
    285,401.16x = 427,707.84 × 215,203.32
  4. Step 4: Simplify right side
    285,401.16x = 92,044,147,158.03
  5. Step 5: Solve for x
    x = 92,044,147,158.03/285,401.16
  6. Step 6: Final answer
    x = 322,507.96

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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.