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Finding the Fourth Proportional to 459,360, 689,131.98 and 257,243.53

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Solution

The fourth proportional to 459,360, 689,131.98 and 257,243.53 is: 385,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,360 : 689,131.98 = 257,243.53 : x
  2. Step 2: Convert to fraction form
    459,360/689,131.98 = 257,243.53/x
  3. Step 3: Cross multiply
    459,360x = 689,131.98 × 257,243.53
  4. Step 4: Simplify right side
    459,360x = 177,274,741,884.87
  5. Step 5: Solve for x
    x = 177,274,741,884.87/459,360
  6. Step 6: Final answer
    x = 385,916.80

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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.