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Finding the Fourth Proportional to 459,920.57, 689,828.27 and 122,987.48

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Solution

The fourth proportional to 459,920.57, 689,828.27 and 122,987.48 is: 184,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,920.57 : 689,828.27 = 122,987.48 : x
  2. Step 2: Convert to fraction form
    459,920.57/689,828.27 = 122,987.48/x
  3. Step 3: Cross multiply
    459,920.57x = 689,828.27 × 122,987.48
  4. Step 4: Simplify right side
    459,920.57x = 84,840,236,495.98
  5. Step 5: Solve for x
    x = 84,840,236,495.98/459,920.57
  6. Step 6: Final answer
    x = 184,467.15

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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.