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Finding the Fourth Proportional to 256,784.90, 385,170.15 and 116,543.30

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Solution

The fourth proportional to 256,784.90, 385,170.15 and 116,543.30 is: 174,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,784.90 : 385,170.15 = 116,543.30 : x
  2. Step 2: Convert to fraction form
    256,784.90/385,170.15 = 116,543.30/x
  3. Step 3: Cross multiply
    256,784.90x = 385,170.15 × 116,543.30
  4. Step 4: Simplify right side
    256,784.90x = 44,889,000,342.50
  5. Step 5: Solve for x
    x = 44,889,000,342.50/256,784.90
  6. Step 6: Final answer
    x = 174,811.68

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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.