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Finding the Fourth Proportional to 549,144, 757,831.36 and 307,420.48

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Solution

The fourth proportional to 549,144, 757,831.36 and 307,420.48 is: 424,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,144 : 757,831.36 = 307,420.48 : x
  2. Step 2: Convert to fraction form
    549,144/757,831.36 = 307,420.48/x
  3. Step 3: Cross multiply
    549,144x = 757,831.36 × 307,420.48
  4. Step 4: Simplify right side
    549,144x = 232,972,880,450.25
  5. Step 5: Solve for x
    x = 232,972,880,450.25/549,144
  6. Step 6: Final answer
    x = 424,247.34

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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.