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Finding the Fourth Proportional to 459,586.28, 689,007.60 and 206,681.60

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Solution

The fourth proportional to 459,586.28, 689,007.60 and 206,681.60 is: 309,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,586.28 : 689,007.60 = 206,681.60 : x
  2. Step 2: Convert to fraction form
    459,586.28/689,007.60 = 206,681.60/x
  3. Step 3: Cross multiply
    459,586.28x = 689,007.60 × 206,681.60
  4. Step 4: Simplify right side
    459,586.28x = 142,405,193,180.16
  5. Step 5: Solve for x
    x = 142,405,193,180.16/459,586.28
  6. Step 6: Final answer
    x = 309,855.19

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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.