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Finding the Fourth Proportional to 690,538.96, 952,969.50 and 380,454.15

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Solution

The fourth proportional to 690,538.96, 952,969.50 and 380,454.15 is: 525,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,538.96 : 952,969.50 = 380,454.15 : x
  2. Step 2: Convert to fraction form
    690,538.96/952,969.50 = 380,454.15/x
  3. Step 3: Cross multiply
    690,538.96x = 952,969.50 × 380,454.15
  4. Step 4: Simplify right side
    690,538.96x = 362,561,201,098.43
  5. Step 5: Solve for x
    x = 362,561,201,098.43/690,538.96
  6. Step 6: Final answer
    x = 525,040.91

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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.