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Finding the Fourth Proportional to 459,392.98, 689,034.78 and 122,458.90

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Solution

The fourth proportional to 459,392.98, 689,034.78 and 122,458.90 is: 183,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392.98 : 689,034.78 = 122,458.90 : x
  2. Step 2: Convert to fraction form
    459,392.98/689,034.78 = 122,458.90/x
  3. Step 3: Cross multiply
    459,392.98x = 689,034.78 × 122,458.90
  4. Step 4: Simplify right side
    459,392.98x = 84,378,441,220.54
  5. Step 5: Solve for x
    x = 84,378,441,220.54/459,392.98
  6. Step 6: Final answer
    x = 183,673.77

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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.