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Finding the Fourth Proportional to 254,439.36, 381,728.16 and 76,952.16

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Solution

The fourth proportional to 254,439.36, 381,728.16 and 76,952.16 is: 115,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,439.36 : 381,728.16 = 76,952.16 : x
  2. Step 2: Convert to fraction form
    254,439.36/381,728.16 = 76,952.16/x
  3. Step 3: Cross multiply
    254,439.36x = 381,728.16 × 76,952.16
  4. Step 4: Simplify right side
    254,439.36x = 29,374,806,444.83
  5. Step 5: Solve for x
    x = 29,374,806,444.83/254,439.36
  6. Step 6: Final answer
    x = 115,449.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.