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Finding the Fourth Proportional to 320,747, 442,120.92 and 252,656.16

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Solution

The fourth proportional to 320,747, 442,120.92 and 252,656.16 is: 348,263.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,747 : 442,120.92 = 252,656.16 : x
  2. Step 2: Convert to fraction form
    320,747/442,120.92 = 252,656.16/x
  3. Step 3: Cross multiply
    320,747x = 442,120.92 × 252,656.16
  4. Step 4: Simplify right side
    320,747x = 111,704,573,902.87
  5. Step 5: Solve for x
    x = 111,704,573,902.87/320,747
  6. Step 6: Final answer
    x = 348,263.82

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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.