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Finding the Fourth Proportional to 654,089.76, 902,562.60 and 378,495

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Solution

The fourth proportional to 654,089.76, 902,562.60 and 378,495 is: 522,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,089.76 : 902,562.60 = 378,495 : x
  2. Step 2: Convert to fraction form
    654,089.76/902,562.60 = 378,495/x
  3. Step 3: Cross multiply
    654,089.76x = 902,562.60 × 378,495
  4. Step 4: Simplify right side
    654,089.76x = 341,615,431,287
  5. Step 5: Solve for x
    x = 341,615,431,287/654,089.76
  6. Step 6: Final answer
    x = 522,276.07

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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.