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Finding the Fourth Proportional to 616,916.82, 851,338.23 and 344,980.98

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Solution

The fourth proportional to 616,916.82, 851,338.23 and 344,980.98 is: 476,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,916.82 : 851,338.23 = 344,980.98 : x
  2. Step 2: Convert to fraction form
    616,916.82/851,338.23 = 344,980.98/x
  3. Step 3: Cross multiply
    616,916.82x = 851,338.23 × 344,980.98
  4. Step 4: Simplify right side
    616,916.82x = 293,695,496,896.87
  5. Step 5: Solve for x
    x = 293,695,496,896.87/616,916.82
  6. Step 6: Final answer
    x = 476,069.85

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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.