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Finding the Fourth Proportional to 501,790.34, 692,155.69 and 297,696.78

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Solution

The fourth proportional to 501,790.34, 692,155.69 and 297,696.78 is: 410,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,790.34 : 692,155.69 = 297,696.78 : x
  2. Step 2: Convert to fraction form
    501,790.34/692,155.69 = 297,696.78/x
  3. Step 3: Cross multiply
    501,790.34x = 692,155.69 × 297,696.78
  4. Step 4: Simplify right side
    501,790.34x = 206,052,519,427.44
  5. Step 5: Solve for x
    x = 206,052,519,427.44/501,790.34
  6. Step 6: Final answer
    x = 410,634.69

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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.