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Finding the Fourth Proportional to 256,203.90, 384,421.05 and 115,890.30

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Solution

The fourth proportional to 256,203.90, 384,421.05 and 115,890.30 is: 173,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,203.90 : 384,421.05 = 115,890.30 : x
  2. Step 2: Convert to fraction form
    256,203.90/384,421.05 = 115,890.30/x
  3. Step 3: Cross multiply
    256,203.90x = 384,421.05 × 115,890.30
  4. Step 4: Simplify right side
    256,203.90x = 44,550,670,810.82
  5. Step 5: Solve for x
    x = 44,550,670,810.82/256,203.90
  6. Step 6: Final answer
    x = 173,887.56

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1.5x scale

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.