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Finding the Fourth Proportional to 557,338.19, 769,174.14 and 315,663.76

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Solution

The fourth proportional to 557,338.19, 769,174.14 and 315,663.76 is: 435,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,338.19 : 769,174.14 = 315,663.76 : x
  2. Step 2: Convert to fraction form
    557,338.19/769,174.14 = 315,663.76/x
  3. Step 3: Cross multiply
    557,338.19x = 769,174.14 × 315,663.76
  4. Step 4: Simplify right side
    557,338.19x = 242,800,399,204.23
  5. Step 5: Solve for x
    x = 242,800,399,204.23/557,338.19
  6. Step 6: Final answer
    x = 435,642.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.