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Finding the Fourth Proportional to 259,808, 388,586.22 and 152,937.32

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Solution

The fourth proportional to 259,808, 388,586.22 and 152,937.32 is: 228,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,808 : 388,586.22 = 152,937.32 : x
  2. Step 2: Convert to fraction form
    259,808/388,586.22 = 152,937.32/x
  3. Step 3: Cross multiply
    259,808x = 388,586.22 × 152,937.32
  4. Step 4: Simplify right side
    259,808x = 59,429,335,075.73
  5. Step 5: Solve for x
    x = 59,429,335,075.73/259,808
  6. Step 6: Final answer
    x = 228,743.28

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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.