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Finding the Fourth Proportional to 407,811, 611,716.50 and 112,323

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Solution

The fourth proportional to 407,811, 611,716.50 and 112,323 is: 168,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,811 : 611,716.50 = 112,323 : x
  2. Step 2: Convert to fraction form
    407,811/611,716.50 = 112,323/x
  3. Step 3: Cross multiply
    407,811x = 611,716.50 × 112,323
  4. Step 4: Simplify right side
    407,811x = 68,709,832,429.50
  5. Step 5: Solve for x
    x = 68,709,832,429.50/407,811
  6. Step 6: Final answer
    x = 168,484.50

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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.