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Finding the Fourth Proportional to 389,254.36, 584,103.18 and 256,197.28

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Solution

The fourth proportional to 389,254.36, 584,103.18 and 256,197.28 is: 384,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,254.36 : 584,103.18 = 256,197.28 : x
  2. Step 2: Convert to fraction form
    389,254.36/584,103.18 = 256,197.28/x
  3. Step 3: Cross multiply
    389,254.36x = 584,103.18 × 256,197.28
  4. Step 4: Simplify right side
    389,254.36x = 149,645,645,955.35
  5. Step 5: Solve for x
    x = 149,645,645,955.35/389,254.36
  6. Step 6: Final answer
    x = 384,441.80

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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.