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Finding the Fourth Proportional to 459,820.94, 689,765.90 and 122,854.05

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Solution

The fourth proportional to 459,820.94, 689,765.90 and 122,854.05 is: 184,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,820.94 : 689,765.90 = 122,854.05 : x
  2. Step 2: Convert to fraction form
    459,820.94/689,765.90 = 122,854.05/x
  3. Step 3: Cross multiply
    459,820.94x = 689,765.90 × 122,854.05
  4. Step 4: Simplify right side
    459,820.94x = 84,740,533,752.62
  5. Step 5: Solve for x
    x = 84,740,533,752.62/459,820.94
  6. Step 6: Final answer
    x = 184,290.29

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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.