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Finding the Fourth Proportional to 427,597.70, 640,721.35 and 347,244.64

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Solution

The fourth proportional to 427,597.70, 640,721.35 and 347,244.64 is: 520,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,597.70 : 640,721.35 = 347,244.64 : x
  2. Step 2: Convert to fraction form
    427,597.70/640,721.35 = 347,244.64/x
  3. Step 3: Cross multiply
    427,597.70x = 640,721.35 × 347,244.64
  4. Step 4: Simplify right side
    427,597.70x = 222,487,054,521.06
  5. Step 5: Solve for x
    x = 222,487,054,521.06/427,597.70
  6. Step 6: Final answer
    x = 520,318.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.