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Finding the Fourth Proportional to 470,419.55, 649,181.54 and 289,249.84

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Solution

The fourth proportional to 470,419.55, 649,181.54 and 289,249.84 is: 399,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,419.55 : 649,181.54 = 289,249.84 : x
  2. Step 2: Convert to fraction form
    470,419.55/649,181.54 = 289,249.84/x
  3. Step 3: Cross multiply
    470,419.55x = 649,181.54 × 289,249.84
  4. Step 4: Simplify right side
    470,419.55x = 187,775,652,831.88
  5. Step 5: Solve for x
    x = 187,775,652,831.88/470,419.55
  6. Step 6: Final answer
    x = 399,166.35

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1.5x scale

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.