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Finding the Fourth Proportional to 298,042.40, 412,381.60 and 259,881.53

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Solution

The fourth proportional to 298,042.40, 412,381.60 and 259,881.53 is: 359,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,042.40 : 412,381.60 = 259,881.53 : x
  2. Step 2: Convert to fraction form
    298,042.40/412,381.60 = 259,881.53/x
  3. Step 3: Cross multiply
    298,042.40x = 412,381.60 × 259,881.53
  4. Step 4: Simplify right side
    298,042.40x = 107,170,358,440.24
  5. Step 5: Solve for x
    x = 107,170,358,440.24/298,042.40
  6. Step 6: Final answer
    x = 359,580.91

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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.