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Finding the Fourth Proportional to 384,309.22, 577,338.63 and 278,021.02

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Solution

The fourth proportional to 384,309.22, 577,338.63 and 278,021.02 is: 417,664.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,309.22 : 577,338.63 = 278,021.02 : x
  2. Step 2: Convert to fraction form
    384,309.22/577,338.63 = 278,021.02/x
  3. Step 3: Cross multiply
    384,309.22x = 577,338.63 × 278,021.02
  4. Step 4: Simplify right side
    384,309.22x = 160,512,274,798.00
  5. Step 5: Solve for x
    x = 160,512,274,798.00/384,309.22
  6. Step 6: Final answer
    x = 417,664.39

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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.