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Finding the Fourth Proportional to 557,366.77, 769,140.43 and 315,651.10

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Solution

The fourth proportional to 557,366.77, 769,140.43 and 315,651.10 is: 435,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,366.77 : 769,140.43 = 315,651.10 : x
  2. Step 2: Convert to fraction form
    557,366.77/769,140.43 = 315,651.10/x
  3. Step 3: Cross multiply
    557,366.77x = 769,140.43 × 315,651.10
  4. Step 4: Simplify right side
    557,366.77x = 242,780,022,783.97
  5. Step 5: Solve for x
    x = 242,780,022,783.97/557,366.77
  6. Step 6: Final answer
    x = 435,583.96

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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.