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Finding the Fourth Proportional to 459,477.85, 689,249.69 and 122,516.74

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Solution

The fourth proportional to 459,477.85, 689,249.69 and 122,516.74 is: 183,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,477.85 : 689,249.69 = 122,516.74 : x
  2. Step 2: Convert to fraction form
    459,477.85/689,249.69 = 122,516.74/x
  3. Step 3: Cross multiply
    459,477.85x = 689,249.69 × 122,516.74
  4. Step 4: Simplify right side
    459,477.85x = 84,444,625,064.81
  5. Step 5: Solve for x
    x = 84,444,625,064.81/459,477.85
  6. Step 6: Final answer
    x = 183,783.89

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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.