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Finding the Fourth Proportional to 688,046.50, 949,643.88 and 397,670.40

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Solution

The fourth proportional to 688,046.50, 949,643.88 and 397,670.40 is: 548,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,046.50 : 949,643.88 = 397,670.40 : x
  2. Step 2: Convert to fraction form
    688,046.50/949,643.88 = 397,670.40/x
  3. Step 3: Cross multiply
    688,046.50x = 949,643.88 × 397,670.40
  4. Step 4: Simplify right side
    688,046.50x = 377,645,261,617.15
  5. Step 5: Solve for x
    x = 377,645,261,617.15/688,046.50
  6. Step 6: Final answer
    x = 548,865.90

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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.