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Finding the Fourth Proportional to 298,753.76, 412,280.24 and 162,787.74

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Solution

The fourth proportional to 298,753.76, 412,280.24 and 162,787.74 is: 224,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,753.76 : 412,280.24 = 162,787.74 : x
  2. Step 2: Convert to fraction form
    298,753.76/412,280.24 = 162,787.74/x
  3. Step 3: Cross multiply
    298,753.76x = 412,280.24 × 162,787.74
  4. Step 4: Simplify right side
    298,753.76x = 67,114,169,634.88
  5. Step 5: Solve for x
    x = 67,114,169,634.88/298,753.76
  6. Step 6: Final answer
    x = 224,647.11

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1.5x scale

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.