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Finding the Fourth Proportional to 318,062, 438,463 and 222,271.28

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Solution

The fourth proportional to 318,062, 438,463 and 222,271.28 is: 306,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,062 : 438,463 = 222,271.28 : x
  2. Step 2: Convert to fraction form
    318,062/438,463 = 222,271.28/x
  3. Step 3: Cross multiply
    318,062x = 438,463 × 222,271.28
  4. Step 4: Simplify right side
    318,062x = 97,457,732,242.64
  5. Step 5: Solve for x
    x = 97,457,732,242.64/318,062
  6. Step 6: Final answer
    x = 306,411.12

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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.