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Finding the Fourth Proportional to 488,409.78, 674,007.54 and 284,600.54

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Solution

The fourth proportional to 488,409.78, 674,007.54 and 284,600.54 is: 392,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,409.78 : 674,007.54 = 284,600.54 : x
  2. Step 2: Convert to fraction form
    488,409.78/674,007.54 = 284,600.54/x
  3. Step 3: Cross multiply
    488,409.78x = 674,007.54 × 284,600.54
  4. Step 4: Simplify right side
    488,409.78x = 191,822,909,848.07
  5. Step 5: Solve for x
    x = 191,822,909,848.07/488,409.78
  6. Step 6: Final answer
    x = 392,749.94

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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.