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Finding the Fourth Proportional to 238,280.94, 328,901.50 and 153,398

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Solution

The fourth proportional to 238,280.94, 328,901.50 and 153,398 is: 211,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,280.94 : 328,901.50 = 153,398 : x
  2. Step 2: Convert to fraction form
    238,280.94/328,901.50 = 153,398/x
  3. Step 3: Cross multiply
    238,280.94x = 328,901.50 × 153,398
  4. Step 4: Simplify right side
    238,280.94x = 50,452,832,297
  5. Step 5: Solve for x
    x = 50,452,832,297/238,280.94
  6. Step 6: Final answer
    x = 211,736.75

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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.