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Finding the Fourth Proportional to 298,272.60, 411,621.12 and 162,312.28

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Solution

The fourth proportional to 298,272.60, 411,621.12 and 162,312.28 is: 223,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,272.60 : 411,621.12 = 162,312.28 : x
  2. Step 2: Convert to fraction form
    298,272.60/411,621.12 = 162,312.28/x
  3. Step 3: Cross multiply
    298,272.60x = 411,621.12 × 162,312.28
  4. Step 4: Simplify right side
    298,272.60x = 66,811,161,454.30
  5. Step 5: Solve for x
    x = 66,811,161,454.30/298,272.60
  6. Step 6: Final answer
    x = 223,993.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.