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Finding the Fourth Proportional to 306,058.45, 428,831.75 and 306,058.45

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Solution

The fourth proportional to 306,058.45, 428,831.75 and 306,058.45 is: 428,831.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,058.45 : 428,831.75 = 306,058.45 : x
  2. Step 2: Convert to fraction form
    306,058.45/428,831.75 = 306,058.45/x
  3. Step 3: Cross multiply
    306,058.45x = 428,831.75 × 306,058.45
  4. Step 4: Simplify right side
    306,058.45x = 131,247,580,715.79
  5. Step 5: Solve for x
    x = 131,247,580,715.79/306,058.45
  6. Step 6: Final answer
    x = 428,831.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.