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Finding the Fourth Proportional to 320,893.89, 442,816.69 and 175,671.84

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Solution

The fourth proportional to 320,893.89, 442,816.69 and 175,671.84 is: 242,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,893.89 : 442,816.69 = 175,671.84 : x
  2. Step 2: Convert to fraction form
    320,893.89/442,816.69 = 175,671.84/x
  3. Step 3: Cross multiply
    320,893.89x = 442,816.69 × 175,671.84
  4. Step 4: Simplify right side
    320,893.89x = 77,790,422,715.01
  5. Step 5: Solve for x
    x = 77,790,422,715.01/320,893.89
  6. Step 6: Final answer
    x = 242,417.90

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1.5x scale

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.