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Finding the Fourth Proportional to 378,531.33, 522,409.82 and 282,871.95

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Solution

The fourth proportional to 378,531.33, 522,409.82 and 282,871.95 is: 390,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,531.33 : 522,409.82 = 282,871.95 : x
  2. Step 2: Convert to fraction form
    378,531.33/522,409.82 = 282,871.95/x
  3. Step 3: Cross multiply
    378,531.33x = 522,409.82 × 282,871.95
  4. Step 4: Simplify right side
    378,531.33x = 147,775,083,068.19
  5. Step 5: Solve for x
    x = 147,775,083,068.19/378,531.33
  6. Step 6: Final answer
    x = 390,390.63

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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.