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Finding the Fourth Proportional to 702,701.88, 969,728.90 and 380,411.96

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Solution

The fourth proportional to 702,701.88, 969,728.90 and 380,411.96 is: 524,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,701.88 : 969,728.90 = 380,411.96 : x
  2. Step 2: Convert to fraction form
    702,701.88/969,728.90 = 380,411.96/x
  3. Step 3: Cross multiply
    702,701.88x = 969,728.90 × 380,411.96
  4. Step 4: Simplify right side
    702,701.88x = 368,896,464,766.94
  5. Step 5: Solve for x
    x = 368,896,464,766.94/702,701.88
  6. Step 6: Final answer
    x = 524,968.66

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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.