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Finding the Fourth Proportional to 230,392.87, 317,943.73 and 128,424.86

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Solution

The fourth proportional to 230,392.87, 317,943.73 and 128,424.86 is: 177,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,392.87 : 317,943.73 = 128,424.86 : x
  2. Step 2: Convert to fraction form
    230,392.87/317,943.73 = 128,424.86/x
  3. Step 3: Cross multiply
    230,392.87x = 317,943.73 × 128,424.86
  4. Step 4: Simplify right side
    230,392.87x = 40,831,878,776.23
  5. Step 5: Solve for x
    x = 40,831,878,776.23/230,392.87
  6. Step 6: Final answer
    x = 177,227.18

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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.