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Finding the Fourth Proportional to 297,054, 409,953.96 and 162,918

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Solution

The fourth proportional to 297,054, 409,953.96 and 162,918 is: 224,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,054 : 409,953.96 = 162,918 : x
  2. Step 2: Convert to fraction form
    297,054/409,953.96 = 162,918/x
  3. Step 3: Cross multiply
    297,054x = 409,953.96 × 162,918
  4. Step 4: Simplify right side
    297,054x = 66,788,879,255.28
  5. Step 5: Solve for x
    x = 66,788,879,255.28/297,054
  6. Step 6: Final answer
    x = 224,837.50

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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.