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Finding the Fourth Proportional to 254,394.36, 381,625.71 and 134,509.40

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Solution

The fourth proportional to 254,394.36, 381,625.71 and 134,509.40 is: 201,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,394.36 : 381,625.71 = 134,509.40 : x
  2. Step 2: Convert to fraction form
    254,394.36/381,625.71 = 134,509.40/x
  3. Step 3: Cross multiply
    254,394.36x = 381,625.71 × 134,509.40
  4. Step 4: Simplify right side
    254,394.36x = 51,332,243,368.55
  5. Step 5: Solve for x
    x = 51,332,243,368.55/254,394.36
  6. Step 6: Final answer
    x = 201,782.16

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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.