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Finding the Fourth Proportional to 298,612.78, 412,085.58 and 164,476.78

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Solution

The fourth proportional to 298,612.78, 412,085.58 and 164,476.78 is: 226,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,612.78 : 412,085.58 = 164,476.78 : x
  2. Step 2: Convert to fraction form
    298,612.78/412,085.58 = 164,476.78/x
  3. Step 3: Cross multiply
    298,612.78x = 412,085.58 × 164,476.78
  4. Step 4: Simplify right side
    298,612.78x = 67,778,509,282.83
  5. Step 5: Solve for x
    x = 67,778,509,282.83/298,612.78
  6. Step 6: Final answer
    x = 226,977.93

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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.