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Finding the Fourth Proportional to 259,558.34, 389,337.87 and 72,569.66

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Solution

The fourth proportional to 259,558.34, 389,337.87 and 72,569.66 is: 108,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,558.34 : 389,337.87 = 72,569.66 : x
  2. Step 2: Convert to fraction form
    259,558.34/389,337.87 = 72,569.66/x
  3. Step 3: Cross multiply
    259,558.34x = 389,337.87 × 72,569.66
  4. Step 4: Simplify right side
    259,558.34x = 28,254,116,851.02
  5. Step 5: Solve for x
    x = 28,254,116,851.02/259,558.34
  6. Step 6: Final answer
    x = 108,854.59

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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.