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Finding the Fourth Proportional to 300,320.64, 414,489.15 and 171,259.43

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Solution

The fourth proportional to 300,320.64, 414,489.15 and 171,259.43 is: 236,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,320.64 : 414,489.15 = 171,259.43 : x
  2. Step 2: Convert to fraction form
    300,320.64/414,489.15 = 171,259.43/x
  3. Step 3: Cross multiply
    300,320.64x = 414,489.15 × 171,259.43
  4. Step 4: Simplify right side
    300,320.64x = 70,985,173,497.74
  5. Step 5: Solve for x
    x = 70,985,173,497.74/300,320.64
  6. Step 6: Final answer
    x = 236,364.62

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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.