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Finding the Fourth Proportional to 326,083.26, 488,878.40 and 213,791.74

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Solution

The fourth proportional to 326,083.26, 488,878.40 and 213,791.74 is: 320,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,083.26 : 488,878.40 = 213,791.74 : x
  2. Step 2: Convert to fraction form
    326,083.26/488,878.40 = 213,791.74/x
  3. Step 3: Cross multiply
    326,083.26x = 488,878.40 × 213,791.74
  4. Step 4: Simplify right side
    326,083.26x = 104,518,163,784.42
  5. Step 5: Solve for x
    x = 104,518,163,784.42/326,083.26
  6. Step 6: Final answer
    x = 320,526.00

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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.