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Finding the Fourth Proportional to 377,804.86, 521,407.53 and 282,145.48

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Solution

The fourth proportional to 377,804.86, 521,407.53 and 282,145.48 is: 389,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,804.86 : 521,407.53 = 282,145.48 : x
  2. Step 2: Convert to fraction form
    377,804.86/521,407.53 = 282,145.48/x
  3. Step 3: Cross multiply
    377,804.86x = 521,407.53 × 282,145.48
  4. Step 4: Simplify right side
    377,804.86x = 147,112,776,523.95
  5. Step 5: Solve for x
    x = 147,112,776,523.95/377,804.86
  6. Step 6: Final answer
    x = 389,388.26

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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.