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Finding the Fourth Proportional to 665,811, 918,822.42 and 364,005

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Solution

The fourth proportional to 665,811, 918,822.42 and 364,005 is: 502,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,811 : 918,822.42 = 364,005 : x
  2. Step 2: Convert to fraction form
    665,811/918,822.42 = 364,005/x
  3. Step 3: Cross multiply
    665,811x = 918,822.42 × 364,005
  4. Step 4: Simplify right side
    665,811x = 334,455,954,992.10
  5. Step 5: Solve for x
    x = 334,455,954,992.10/665,811
  6. Step 6: Final answer
    x = 502,328.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.