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Finding the Fourth Proportional to 298,804.66, 412,350.50 and 162,838.64

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Solution

The fourth proportional to 298,804.66, 412,350.50 and 162,838.64 is: 224,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,804.66 : 412,350.50 = 162,838.64 : x
  2. Step 2: Convert to fraction form
    298,804.66/412,350.50 = 162,838.64/x
  3. Step 3: Cross multiply
    298,804.66x = 412,350.50 × 162,838.64
  4. Step 4: Simplify right side
    298,804.66x = 67,146,596,061.29
  5. Step 5: Solve for x
    x = 67,146,596,061.29/298,804.66
  6. Step 6: Final answer
    x = 224,717.37

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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.