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Finding the Fourth Proportional to 459,499.84, 689,272.32 and 122,543.56

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Solution

The fourth proportional to 459,499.84, 689,272.32 and 122,543.56 is: 183,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,499.84 : 689,272.32 = 122,543.56 : x
  2. Step 2: Convert to fraction form
    459,499.84/689,272.32 = 122,543.56/x
  3. Step 3: Cross multiply
    459,499.84x = 689,272.32 × 122,543.56
  4. Step 4: Simplify right side
    459,499.84x = 84,465,883,902.26
  5. Step 5: Solve for x
    x = 84,465,883,902.26/459,499.84
  6. Step 6: Final answer
    x = 183,821.36

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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.