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Finding the Fourth Proportional to 443,586.80, 665,477.40 and 177,280.40

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Solution

The fourth proportional to 443,586.80, 665,477.40 and 177,280.40 is: 265,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,586.80 : 665,477.40 = 177,280.40 : x
  2. Step 2: Convert to fraction form
    443,586.80/665,477.40 = 177,280.40/x
  3. Step 3: Cross multiply
    443,586.80x = 665,477.40 × 177,280.40
  4. Step 4: Simplify right side
    443,586.80x = 117,976,099,662.96
  5. Step 5: Solve for x
    x = 117,976,099,662.96/443,586.80
  6. Step 6: Final answer
    x = 265,959.45

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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.