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Finding the Fourth Proportional to 459,643.41, 689,462.89 and 118,086.56

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Solution

The fourth proportional to 459,643.41, 689,462.89 and 118,086.56 is: 177,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,643.41 : 689,462.89 = 118,086.56 : x
  2. Step 2: Convert to fraction form
    459,643.41/689,462.89 = 118,086.56/x
  3. Step 3: Cross multiply
    459,643.41x = 689,462.89 × 118,086.56
  4. Step 4: Simplify right side
    459,643.41x = 81,416,299,770.71
  5. Step 5: Solve for x
    x = 81,416,299,770.71/459,643.41
  6. Step 6: Final answer
    x = 177,129.27

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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.