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Finding the Fourth Proportional to 254,225.94, 381,328.92 and 76,728.12

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Solution

The fourth proportional to 254,225.94, 381,328.92 and 76,728.12 is: 115,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,225.94 : 381,328.92 = 76,728.12 : x
  2. Step 2: Convert to fraction form
    254,225.94/381,328.92 = 76,728.12/x
  3. Step 3: Cross multiply
    254,225.94x = 381,328.92 × 76,728.12
  4. Step 4: Simplify right side
    254,225.94x = 29,258,651,133.23
  5. Step 5: Solve for x
    x = 29,258,651,133.23/254,225.94
  6. Step 6: Final answer
    x = 115,089.16

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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.