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Finding the Fourth Proportional to 298,841.90, 412,401.75 and 164,705.90

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Solution

The fourth proportional to 298,841.90, 412,401.75 and 164,705.90 is: 227,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,841.90 : 412,401.75 = 164,705.90 : x
  2. Step 2: Convert to fraction form
    298,841.90/412,401.75 = 164,705.90/x
  3. Step 3: Cross multiply
    298,841.90x = 412,401.75 × 164,705.90
  4. Step 4: Simplify right side
    298,841.90x = 67,925,001,395.33
  5. Step 5: Solve for x
    x = 67,925,001,395.33/298,841.90
  6. Step 6: Final answer
    x = 227,294.10

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1.5x scale

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.