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Finding the Fourth Proportional to 288,971.70, 432,874.35 and 200,325.30

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Solution

The fourth proportional to 288,971.70, 432,874.35 and 200,325.30 is: 300,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,971.70 : 432,874.35 = 200,325.30 : x
  2. Step 2: Convert to fraction form
    288,971.70/432,874.35 = 200,325.30/x
  3. Step 3: Cross multiply
    288,971.70x = 432,874.35 × 200,325.30
  4. Step 4: Simplify right side
    288,971.70x = 86,715,684,026.06
  5. Step 5: Solve for x
    x = 86,715,684,026.06/288,971.70
  6. Step 6: Final answer
    x = 300,083.66

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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.