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Finding the Fourth Proportional to 459,684, 689,759.28 and 210,428.64

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Solution

The fourth proportional to 459,684, 689,759.28 and 210,428.64 is: 315,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,684 : 689,759.28 = 210,428.64 : x
  2. Step 2: Convert to fraction form
    459,684/689,759.28 = 210,428.64/x
  3. Step 3: Cross multiply
    459,684x = 689,759.28 × 210,428.64
  4. Step 4: Simplify right side
    459,684x = 145,145,107,217.78
  5. Step 5: Solve for x
    x = 145,145,107,217.78/459,684
  6. Step 6: Final answer
    x = 315,749.75

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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.