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Finding the Fourth Proportional to 459,377.89, 689,021.93 and 139,532.54

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Solution

The fourth proportional to 459,377.89, 689,021.93 and 139,532.54 is: 209,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,377.89 : 689,021.93 = 139,532.54 : x
  2. Step 2: Convert to fraction form
    459,377.89/689,021.93 = 139,532.54/x
  3. Step 3: Cross multiply
    459,377.89x = 689,021.93 × 139,532.54
  4. Step 4: Simplify right side
    459,377.89x = 96,140,976,912.32
  5. Step 5: Solve for x
    x = 96,140,976,912.32/459,377.89
  6. Step 6: Final answer
    x = 209,285.16

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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.