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Finding the Fourth Proportional to 768,768, 1,153,156.10 and 504,203.87

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Solution

The fourth proportional to 768,768, 1,153,156.10 and 504,203.87 is: 756,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,768 : 1,153,156.10 = 504,203.87 : x
  2. Step 2: Convert to fraction form
    768,768/1,153,156.10 = 504,203.87/x
  3. Step 3: Cross multiply
    768,768x = 1,153,156.10 × 504,203.87
  4. Step 4: Simplify right side
    768,768x = 581,425,768,334.11
  5. Step 5: Solve for x
    x = 581,425,768,334.11/768,768
  6. Step 6: Final answer
    x = 756,308.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.