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Finding the Fourth Proportional to 557,224, 768,969.12 and 318,760

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Solution

The fourth proportional to 557,224, 768,969.12 and 318,760 is: 439,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,224 : 768,969.12 = 318,760 : x
  2. Step 2: Convert to fraction form
    557,224/768,969.12 = 318,760/x
  3. Step 3: Cross multiply
    557,224x = 768,969.12 × 318,760
  4. Step 4: Simplify right side
    557,224x = 245,116,596,691.20
  5. Step 5: Solve for x
    x = 245,116,596,691.20/557,224
  6. Step 6: Final answer
    x = 439,888.80

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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.