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Finding the Fourth Proportional to 298,703.45, 412,220.81 and 162,748.19

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Solution

The fourth proportional to 298,703.45, 412,220.81 and 162,748.19 is: 224,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,703.45 : 412,220.81 = 162,748.19 : x
  2. Step 2: Convert to fraction form
    298,703.45/412,220.81 = 162,748.19/x
  3. Step 3: Cross multiply
    298,703.45x = 412,220.81 × 162,748.19
  4. Step 4: Simplify right side
    298,703.45x = 67,088,190,707.83
  5. Step 5: Solve for x
    x = 67,088,190,707.83/298,703.45
  6. Step 6: Final answer
    x = 224,597.98

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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.