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Finding the Fourth Proportional to 300,243.78, 414,332.87 and 164,276.15

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Solution

The fourth proportional to 300,243.78, 414,332.87 and 164,276.15 is: 226,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,243.78 : 414,332.87 = 164,276.15 : x
  2. Step 2: Convert to fraction form
    300,243.78/414,332.87 = 164,276.15/x
  3. Step 3: Cross multiply
    300,243.78x = 414,332.87 × 164,276.15
  4. Step 4: Simplify right side
    300,243.78x = 68,065,005,809.01
  5. Step 5: Solve for x
    x = 68,065,005,809.01/300,243.78
  6. Step 6: Final answer
    x = 226,699.14

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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.