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Finding the Fourth Proportional to 382,952.94, 528,395 and 221,798.36

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Solution

The fourth proportional to 382,952.94, 528,395 and 221,798.36 is: 306,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,952.94 : 528,395 = 221,798.36 : x
  2. Step 2: Convert to fraction form
    382,952.94/528,395 = 221,798.36/x
  3. Step 3: Cross multiply
    382,952.94x = 528,395 × 221,798.36
  4. Step 4: Simplify right side
    382,952.94x = 117,197,144,432.20
  5. Step 5: Solve for x
    x = 117,197,144,432.20/382,952.94
  6. Step 6: Final answer
    x = 306,035.37

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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.