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Finding the Fourth Proportional to 238,382.74, 328,830.66 and 142,834.08

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Solution

The fourth proportional to 238,382.74, 328,830.66 and 142,834.08 is: 197,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,382.74 : 328,830.66 = 142,834.08 : x
  2. Step 2: Convert to fraction form
    238,382.74/328,830.66 = 142,834.08/x
  3. Step 3: Cross multiply
    238,382.74x = 328,830.66 × 142,834.08
  4. Step 4: Simplify right side
    238,382.74x = 46,968,224,796.89
  5. Step 5: Solve for x
    x = 46,968,224,796.89/238,382.74
  6. Step 6: Final answer
    x = 197,028.63

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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.