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Finding the Fourth Proportional to 413,083.60, 619,625.40 and 308,107.60

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Solution

The fourth proportional to 413,083.60, 619,625.40 and 308,107.60 is: 462,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,083.60 : 619,625.40 = 308,107.60 : x
  2. Step 2: Convert to fraction form
    413,083.60/619,625.40 = 308,107.60/x
  3. Step 3: Cross multiply
    413,083.60x = 619,625.40 × 308,107.60
  4. Step 4: Simplify right side
    413,083.60x = 190,911,294,893.04
  5. Step 5: Solve for x
    x = 190,911,294,893.04/413,083.60
  6. Step 6: Final answer
    x = 462,161.40

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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.