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Finding the Fourth Proportional to 389,856, 538,102.08 and 254,228.16

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Solution

The fourth proportional to 389,856, 538,102.08 and 254,228.16 is: 350,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,856 : 538,102.08 = 254,228.16 : x
  2. Step 2: Convert to fraction form
    389,856/538,102.08 = 254,228.16/x
  3. Step 3: Cross multiply
    389,856x = 538,102.08 × 254,228.16
  4. Step 4: Simplify right side
    389,856x = 136,800,701,690.57
  5. Step 5: Solve for x
    x = 136,800,701,690.57/389,856
  6. Step 6: Final answer
    x = 350,900.59

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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.