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Finding the Fourth Proportional to 212,846.16, 317,391.48 and 202,381.20

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Solution

The fourth proportional to 212,846.16, 317,391.48 and 202,381.20 is: 301,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,846.16 : 317,391.48 = 202,381.20 : x
  2. Step 2: Convert to fraction form
    212,846.16/317,391.48 = 202,381.20/x
  3. Step 3: Cross multiply
    212,846.16x = 317,391.48 × 202,381.20
  4. Step 4: Simplify right side
    212,846.16x = 64,234,068,592.18
  5. Step 5: Solve for x
    x = 64,234,068,592.18/212,846.16
  6. Step 6: Final answer
    x = 301,786.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.