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Finding the Fourth Proportional to 389,852.44, 538,000.78 and 228,710.24

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Solution

The fourth proportional to 389,852.44, 538,000.78 and 228,710.24 is: 315,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,852.44 : 538,000.78 = 228,710.24 : x
  2. Step 2: Convert to fraction form
    389,852.44/538,000.78 = 228,710.24/x
  3. Step 3: Cross multiply
    389,852.44x = 538,000.78 × 228,710.24
  4. Step 4: Simplify right side
    389,852.44x = 123,046,287,513.99
  5. Step 5: Solve for x
    x = 123,046,287,513.99/389,852.44
  6. Step 6: Final answer
    x = 315,622.72

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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.