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Finding the Fourth Proportional to 298,799.65, 412,331.51 and 162,830.70

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Solution

The fourth proportional to 298,799.65, 412,331.51 and 162,830.70 is: 224,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,799.65 : 412,331.51 = 162,830.70 : x
  2. Step 2: Convert to fraction form
    298,799.65/412,331.51 = 162,830.70/x
  3. Step 3: Cross multiply
    298,799.65x = 412,331.51 × 162,830.70
  4. Step 4: Simplify right side
    298,799.65x = 67,140,228,812.43
  5. Step 5: Solve for x
    x = 67,140,228,812.43/298,799.65
  6. Step 6: Final answer
    x = 224,699.83

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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.