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Finding the Fourth Proportional to 557,105, 769,437.90 and 375,503.96

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Solution

The fourth proportional to 557,105, 769,437.90 and 375,503.96 is: 518,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,105 : 769,437.90 = 375,503.96 : x
  2. Step 2: Convert to fraction form
    557,105/769,437.90 = 375,503.96/x
  3. Step 3: Cross multiply
    557,105x = 769,437.90 × 375,503.96
  4. Step 4: Simplify right side
    557,105x = 288,926,978,424.08
  5. Step 5: Solve for x
    x = 288,926,978,424.08/557,105
  6. Step 6: Final answer
    x = 518,622.12

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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.