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Finding the Fourth Proportional to 298,278.83, 411,625.52 and 162,312.70

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Solution

The fourth proportional to 298,278.83, 411,625.52 and 162,312.70 is: 223,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,278.83 : 411,625.52 = 162,312.70 : x
  2. Step 2: Convert to fraction form
    298,278.83/411,625.52 = 162,312.70/x
  3. Step 3: Cross multiply
    298,278.83x = 411,625.52 × 162,312.70
  4. Step 4: Simplify right side
    298,278.83x = 66,812,049,540.10
  5. Step 5: Solve for x
    x = 66,812,049,540.10/298,278.83
  6. Step 6: Final answer
    x = 223,991.93

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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.