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Finding the Fourth Proportional to 393,624, 543,201.12 and 214,776

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Solution

The fourth proportional to 393,624, 543,201.12 and 214,776 is: 296,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,624 : 543,201.12 = 214,776 : x
  2. Step 2: Convert to fraction form
    393,624/543,201.12 = 214,776/x
  3. Step 3: Cross multiply
    393,624x = 543,201.12 × 214,776
  4. Step 4: Simplify right side
    393,624x = 116,666,563,749.12
  5. Step 5: Solve for x
    x = 116,666,563,749.12/393,624
  6. Step 6: Final answer
    x = 296,390.88

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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.