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Finding the Fourth Proportional to 382,412.97, 527,730.33 and 212,643.45

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Solution

The fourth proportional to 382,412.97, 527,730.33 and 212,643.45 is: 293,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,412.97 : 527,730.33 = 212,643.45 : x
  2. Step 2: Convert to fraction form
    382,412.97/527,730.33 = 212,643.45/x
  3. Step 3: Cross multiply
    382,412.97x = 527,730.33 × 212,643.45
  4. Step 4: Simplify right side
    382,412.97x = 112,218,398,040.84
  5. Step 5: Solve for x
    x = 112,218,398,040.84/382,412.97
  6. Step 6: Final answer
    x = 293,448.20

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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.