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Finding the Fourth Proportional to 300,455.76, 414,629.08 and 164,498.51

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Solution

The fourth proportional to 300,455.76, 414,629.08 and 164,498.51 is: 227,008.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,455.76 : 414,629.08 = 164,498.51 : x
  2. Step 2: Convert to fraction form
    300,455.76/414,629.08 = 164,498.51/x
  3. Step 3: Cross multiply
    300,455.76x = 414,629.08 × 164,498.51
  4. Step 4: Simplify right side
    300,455.76x = 68,205,866,488.00
  5. Step 5: Solve for x
    x = 68,205,866,488.00/300,455.76
  6. Step 6: Final answer
    x = 227,008.01

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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.