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Finding the Fourth Proportional to 256,697, 385,201.04 and 108,953

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Solution

The fourth proportional to 256,697, 385,201.04 and 108,953 is: 163,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,697 : 385,201.04 = 108,953 : x
  2. Step 2: Convert to fraction form
    256,697/385,201.04 = 108,953/x
  3. Step 3: Cross multiply
    256,697x = 385,201.04 × 108,953
  4. Step 4: Simplify right side
    256,697x = 41,968,808,911.12
  5. Step 5: Solve for x
    x = 41,968,808,911.12/256,697
  6. Step 6: Final answer
    x = 163,495.52

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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.