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Finding the Fourth Proportional to 1,019,797, 1,529,727.90 and 309,831.22

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Solution

The fourth proportional to 1,019,797, 1,529,727.90 and 309,831.22 is: 464,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,797 : 1,529,727.90 = 309,831.22 : x
  2. Step 2: Convert to fraction form
    1,019,797/1,529,727.90 = 309,831.22/x
  3. Step 3: Cross multiply
    1,019,797x = 1,529,727.90 × 309,831.22
  4. Step 4: Simplify right side
    1,019,797x = 473,957,461,525.04
  5. Step 5: Solve for x
    x = 473,957,461,525.04/1,019,797
  6. Step 6: Final answer
    x = 464,756.67

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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.