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Finding the Fourth Proportional to 682,444.50, 941,773.41 and 380,638.50

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Solution

The fourth proportional to 682,444.50, 941,773.41 and 380,638.50 is: 525,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,444.50 : 941,773.41 = 380,638.50 : x
  2. Step 2: Convert to fraction form
    682,444.50/941,773.41 = 380,638.50/x
  3. Step 3: Cross multiply
    682,444.50x = 941,773.41 × 380,638.50
  4. Step 4: Simplify right side
    682,444.50x = 358,475,218,122.29
  5. Step 5: Solve for x
    x = 358,475,218,122.29/682,444.50
  6. Step 6: Final answer
    x = 525,281.13

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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.