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Finding the Fourth Proportional to 459,692, 689,771.28 and 210,436.64

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Solution

The fourth proportional to 459,692, 689,771.28 and 210,436.64 is: 315,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,692 : 689,771.28 = 210,436.64 : x
  2. Step 2: Convert to fraction form
    459,692/689,771.28 = 210,436.64/x
  3. Step 3: Cross multiply
    459,692x = 689,771.28 × 210,436.64
  4. Step 4: Simplify right side
    459,692x = 145,153,150,531.70
  5. Step 5: Solve for x
    x = 145,153,150,531.70/459,692
  6. Step 6: Final answer
    x = 315,761.75

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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.