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Finding the Fourth Proportional to 389,878.32, 538,048.80 and 228,856.80

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Solution

The fourth proportional to 389,878.32, 538,048.80 and 228,856.80 is: 315,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,878.32 : 538,048.80 = 228,856.80 : x
  2. Step 2: Convert to fraction form
    389,878.32/538,048.80 = 228,856.80/x
  3. Step 3: Cross multiply
    389,878.32x = 538,048.80 × 228,856.80
  4. Step 4: Simplify right side
    389,878.32x = 123,136,126,611.84
  5. Step 5: Solve for x
    x = 123,136,126,611.84/389,878.32
  6. Step 6: Final answer
    x = 315,832.20

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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.