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Finding the Fourth Proportional to 658,540.40, 988,271.40 and 284,831.60

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Solution

The fourth proportional to 658,540.40, 988,271.40 and 284,831.60 is: 427,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,540.40 : 988,271.40 = 284,831.60 : x
  2. Step 2: Convert to fraction form
    658,540.40/988,271.40 = 284,831.60/x
  3. Step 3: Cross multiply
    658,540.40x = 988,271.40 × 284,831.60
  4. Step 4: Simplify right side
    658,540.40x = 281,490,924,096.24
  5. Step 5: Solve for x
    x = 281,490,924,096.24/658,540.40
  6. Step 6: Final answer
    x = 427,446.71

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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.