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Finding the Fourth Proportional to 259,312, 389,033.64 and 72,323.50

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Solution

The fourth proportional to 259,312, 389,033.64 and 72,323.50 is: 108,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,312 : 389,033.64 = 72,323.50 : x
  2. Step 2: Convert to fraction form
    259,312/389,033.64 = 72,323.50/x
  3. Step 3: Cross multiply
    259,312x = 389,033.64 × 72,323.50
  4. Step 4: Simplify right side
    259,312x = 28,136,274,462.54
  5. Step 5: Solve for x
    x = 28,136,274,462.54/259,312
  6. Step 6: Final answer
    x = 108,503.56

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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.