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Finding the Fourth Proportional to 200,446.79, 276,444.90 and 142,976.61

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Solution

The fourth proportional to 200,446.79, 276,444.90 and 142,976.61 is: 197,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,446.79 : 276,444.90 = 142,976.61 : x
  2. Step 2: Convert to fraction form
    200,446.79/276,444.90 = 142,976.61/x
  3. Step 3: Cross multiply
    200,446.79x = 276,444.90 × 142,976.61
  4. Step 4: Simplify right side
    200,446.79x = 39,525,154,653.79
  5. Step 5: Solve for x
    x = 39,525,154,653.79/200,446.79
  6. Step 6: Final answer
    x = 197,185.28

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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.