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Finding the Fourth Proportional to 238,382.75, 328,830.65 and 142,834.08

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Solution

The fourth proportional to 238,382.75, 328,830.65 and 142,834.08 is: 197,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,382.75 : 328,830.65 = 142,834.08 : x
  2. Step 2: Convert to fraction form
    238,382.75/328,830.65 = 142,834.08/x
  3. Step 3: Cross multiply
    238,382.75x = 328,830.65 × 142,834.08
  4. Step 4: Simplify right side
    238,382.75x = 46,968,223,368.55
  5. Step 5: Solve for x
    x = 46,968,223,368.55/238,382.75
  6. Step 6: Final answer
    x = 197,028.62

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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.