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Finding the Fourth Proportional to 200,297.92, 276,598.49 and 128,802.16

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Solution

The fourth proportional to 200,297.92, 276,598.49 and 128,802.16 is: 177,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.92 : 276,598.49 = 128,802.16 : x
  2. Step 2: Convert to fraction form
    200,297.92/276,598.49 = 128,802.16/x
  3. Step 3: Cross multiply
    200,297.92x = 276,598.49 × 128,802.16
  4. Step 4: Simplify right side
    200,297.92x = 35,626,480,937.74
  5. Step 5: Solve for x
    x = 35,626,480,937.74/200,297.92
  6. Step 6: Final answer
    x = 177,867.46

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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.