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Finding the Fourth Proportional to 459,429.93, 689,571.36 and 234,950.78

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Solution

The fourth proportional to 459,429.93, 689,571.36 and 234,950.78 is: 352,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,429.93 : 689,571.36 = 234,950.78 : x
  2. Step 2: Convert to fraction form
    459,429.93/689,571.36 = 234,950.78/x
  3. Step 3: Cross multiply
    459,429.93x = 689,571.36 × 234,950.78
  4. Step 4: Simplify right side
    459,429.93x = 162,015,330,621.59
  5. Step 5: Solve for x
    x = 162,015,330,621.59/459,429.93
  6. Step 6: Final answer
    x = 352,644.27

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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.