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Finding the Fourth Proportional to 256,807.70, 385,672.35 and 186,766.10

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Solution

The fourth proportional to 256,807.70, 385,672.35 and 186,766.10 is: 280,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,807.70 : 385,672.35 = 186,766.10 : x
  2. Step 2: Convert to fraction form
    256,807.70/385,672.35 = 186,766.10/x
  3. Step 3: Cross multiply
    256,807.70x = 385,672.35 × 186,766.10
  4. Step 4: Simplify right side
    256,807.70x = 72,030,520,687.34
  5. Step 5: Solve for x
    x = 72,030,520,687.34/256,807.70
  6. Step 6: Final answer
    x = 280,484.27

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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.