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Finding the Fourth Proportional to 313,072.41, 469,685.04 and 99,840.33

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Solution

The fourth proportional to 313,072.41, 469,685.04 and 99,840.33 is: 149,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,072.41 : 469,685.04 = 99,840.33 : x
  2. Step 2: Convert to fraction form
    313,072.41/469,685.04 = 99,840.33/x
  3. Step 3: Cross multiply
    313,072.41x = 469,685.04 × 99,840.33
  4. Step 4: Simplify right side
    313,072.41x = 46,893,509,389.66
  5. Step 5: Solve for x
    x = 46,893,509,389.66/313,072.41
  6. Step 6: Final answer
    x = 149,784.87

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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.