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Finding the Fourth Proportional to 547,643.71, 755,744.71 and 305,924.16

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Solution

The fourth proportional to 547,643.71, 755,744.71 and 305,924.16 is: 422,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,643.71 : 755,744.71 = 305,924.16 : x
  2. Step 2: Convert to fraction form
    547,643.71/755,744.71 = 305,924.16/x
  3. Step 3: Cross multiply
    547,643.71x = 755,744.71 × 305,924.16
  4. Step 4: Simplify right side
    547,643.71x = 231,200,565,581.19
  5. Step 5: Solve for x
    x = 231,200,565,581.19/547,643.71
  6. Step 6: Final answer
    x = 422,173.32

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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.