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Finding the Fourth Proportional to 353,427.30, 488,023.95 and 327,784.32

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Solution

The fourth proportional to 353,427.30, 488,023.95 and 327,784.32 is: 452,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,427.30 : 488,023.95 = 327,784.32 : x
  2. Step 2: Convert to fraction form
    353,427.30/488,023.95 = 327,784.32/x
  3. Step 3: Cross multiply
    353,427.30x = 488,023.95 × 327,784.32
  4. Step 4: Simplify right side
    353,427.30x = 159,966,598,594.46
  5. Step 5: Solve for x
    x = 159,966,598,594.46/353,427.30
  6. Step 6: Final answer
    x = 452,615.29

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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.