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Finding the Fourth Proportional to 298,921.69, 412,509.23 and 164,785.69

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Solution

The fourth proportional to 298,921.69, 412,509.23 and 164,785.69 is: 227,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,921.69 : 412,509.23 = 164,785.69 : x
  2. Step 2: Convert to fraction form
    298,921.69/412,509.23 = 164,785.69/x
  3. Step 3: Cross multiply
    298,921.69x = 412,509.23 × 164,785.69
  4. Step 4: Simplify right side
    298,921.69x = 67,975,617,272.99
  5. Step 5: Solve for x
    x = 67,975,617,272.99/298,921.69
  6. Step 6: Final answer
    x = 227,402.76

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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.