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Finding the Fourth Proportional to 557,218, 768,960.84 and 318,754

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Solution

The fourth proportional to 557,218, 768,960.84 and 318,754 is: 439,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,218 : 768,960.84 = 318,754 : x
  2. Step 2: Convert to fraction form
    557,218/768,960.84 = 318,754/x
  3. Step 3: Cross multiply
    557,218x = 768,960.84 × 318,754
  4. Step 4: Simplify right side
    557,218x = 245,109,343,593.36
  5. Step 5: Solve for x
    x = 245,109,343,593.36/557,218
  6. Step 6: Final answer
    x = 439,880.52

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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.