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Finding the Fourth Proportional to 379,646.50, 569,254.10 and 154,743.52

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Solution

The fourth proportional to 379,646.50, 569,254.10 and 154,743.52 is: 232,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,646.50 : 569,254.10 = 154,743.52 : x
  2. Step 2: Convert to fraction form
    379,646.50/569,254.10 = 154,743.52/x
  3. Step 3: Cross multiply
    379,646.50x = 569,254.10 × 154,743.52
  4. Step 4: Simplify right side
    379,646.50x = 88,088,383,208.43
  5. Step 5: Solve for x
    x = 88,088,383,208.43/379,646.50
  6. Step 6: Final answer
    x = 232,027.38

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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.