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Finding the Fourth Proportional to 389,994.52, 538,196 and 228,852.24

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Solution

The fourth proportional to 389,994.52, 538,196 and 228,852.24 is: 315,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,994.52 : 538,196 = 228,852.24 : x
  2. Step 2: Convert to fraction form
    389,994.52/538,196 = 228,852.24/x
  3. Step 3: Cross multiply
    389,994.52x = 538,196 × 228,852.24
  4. Step 4: Simplify right side
    389,994.52x = 123,167,360,159.04
  5. Step 5: Solve for x
    x = 123,167,360,159.04/389,994.52
  6. Step 6: Final answer
    x = 315,818.18

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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.