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Finding the Fourth Proportional to 298,816.40, 412,366.52 and 164,680.40

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Solution

The fourth proportional to 298,816.40, 412,366.52 and 164,680.40 is: 227,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,816.40 : 412,366.52 = 164,680.40 : x
  2. Step 2: Convert to fraction form
    298,816.40/412,366.52 = 164,680.40/x
  3. Step 3: Cross multiply
    298,816.40x = 412,366.52 × 164,680.40
  4. Step 4: Simplify right side
    298,816.40x = 67,908,683,460.21
  5. Step 5: Solve for x
    x = 67,908,683,460.21/298,816.40
  6. Step 6: Final answer
    x = 227,258.89

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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.