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Finding the Fourth Proportional to 305,831.70, 459,093.15 and 181,242.90

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Solution

The fourth proportional to 305,831.70, 459,093.15 and 181,242.90 is: 272,069.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,831.70 : 459,093.15 = 181,242.90 : x
  2. Step 2: Convert to fraction form
    305,831.70/459,093.15 = 181,242.90/x
  3. Step 3: Cross multiply
    305,831.70x = 459,093.15 × 181,242.90
  4. Step 4: Simplify right side
    305,831.70x = 83,207,373,876.14
  5. Step 5: Solve for x
    x = 83,207,373,876.14/305,831.70
  6. Step 6: Final answer
    x = 272,069.16

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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.