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Finding the Fourth Proportional to 371,605.41, 557,429.31 and 105,345

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Solution

The fourth proportional to 371,605.41, 557,429.31 and 105,345 is: 158,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,605.41 : 557,429.31 = 105,345 : x
  2. Step 2: Convert to fraction form
    371,605.41/557,429.31 = 105,345/x
  3. Step 3: Cross multiply
    371,605.41x = 557,429.31 × 105,345
  4. Step 4: Simplify right side
    371,605.41x = 58,722,390,661.95
  5. Step 5: Solve for x
    x = 58,722,390,661.95/371,605.41
  6. Step 6: Final answer
    x = 158,023.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.