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Finding the Fourth Proportional to 320,896.62, 442,820.46 and 175,674.60

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Solution

The fourth proportional to 320,896.62, 442,820.46 and 175,674.60 is: 242,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,896.62 : 442,820.46 = 175,674.60 : x
  2. Step 2: Convert to fraction form
    320,896.62/442,820.46 = 175,674.60/x
  3. Step 3: Cross multiply
    320,896.62x = 442,820.46 × 175,674.60
  4. Step 4: Simplify right side
    320,896.62x = 77,792,307,182.32
  5. Step 5: Solve for x
    x = 77,792,307,182.32/320,896.62
  6. Step 6: Final answer
    x = 242,421.71

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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.