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Finding the Fourth Proportional to 306,954.02, 423,772.13 and 203,728.20

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Solution

The fourth proportional to 306,954.02, 423,772.13 and 203,728.20 is: 281,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,954.02 : 423,772.13 = 203,728.20 : x
  2. Step 2: Convert to fraction form
    306,954.02/423,772.13 = 203,728.20/x
  3. Step 3: Cross multiply
    306,954.02x = 423,772.13 × 203,728.20
  4. Step 4: Simplify right side
    306,954.02x = 86,334,333,255.07
  5. Step 5: Solve for x
    x = 86,334,333,255.07/306,954.02
  6. Step 6: Final answer
    x = 281,261.45

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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.