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Finding the Fourth Proportional to 298,115.40, 411,402.22 and 162,152.51

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Solution

The fourth proportional to 298,115.40, 411,402.22 and 162,152.51 is: 223,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,115.40 : 411,402.22 = 162,152.51 : x
  2. Step 2: Convert to fraction form
    298,115.40/411,402.22 = 162,152.51/x
  3. Step 3: Cross multiply
    298,115.40x = 411,402.22 × 162,152.51
  4. Step 4: Simplify right side
    298,115.40x = 66,709,902,592.57
  5. Step 5: Solve for x
    x = 66,709,902,592.57/298,115.40
  6. Step 6: Final answer
    x = 223,772.08

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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.