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Finding the Fourth Proportional to 353,431.80, 488,030.16 and 327,788.82

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Solution

The fourth proportional to 353,431.80, 488,030.16 and 327,788.82 is: 452,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,431.80 : 488,030.16 = 327,788.82 : x
  2. Step 2: Convert to fraction form
    353,431.80/488,030.16 = 327,788.82/x
  3. Step 3: Cross multiply
    353,431.80x = 488,030.16 × 327,788.82
  4. Step 4: Simplify right side
    353,431.80x = 159,970,830,270.81
  5. Step 5: Solve for x
    x = 159,970,830,270.81/353,431.80
  6. Step 6: Final answer
    x = 452,621.50

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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.