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Finding the Fourth Proportional to 298,342.79, 411,707.31 and 162,379.74

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Solution

The fourth proportional to 298,342.79, 411,707.31 and 162,379.74 is: 224,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,342.79 : 411,707.31 = 162,379.74 : x
  2. Step 2: Convert to fraction form
    298,342.79/411,707.31 = 162,379.74/x
  3. Step 3: Cross multiply
    298,342.79x = 411,707.31 × 162,379.74
  4. Step 4: Simplify right side
    298,342.79x = 66,852,924,573.02
  5. Step 5: Solve for x
    x = 66,852,924,573.02/298,342.79
  6. Step 6: Final answer
    x = 224,080.91

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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.