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Finding the Fourth Proportional to 382,574.30, 528,053.91 and 269,447.90

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Solution

The fourth proportional to 382,574.30, 528,053.91 and 269,447.90 is: 371,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,574.30 : 528,053.91 = 269,447.90 : x
  2. Step 2: Convert to fraction form
    382,574.30/528,053.91 = 269,447.90/x
  3. Step 3: Cross multiply
    382,574.30x = 528,053.91 × 269,447.90
  4. Step 4: Simplify right side
    382,574.30x = 142,283,017,136.29
  5. Step 5: Solve for x
    x = 142,283,017,136.29/382,574.30
  6. Step 6: Final answer
    x = 371,909.50

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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.