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Finding the Fourth Proportional to 233,311.40, 349,707.90 and 128,205.80

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Solution

The fourth proportional to 233,311.40, 349,707.90 and 128,205.80 is: 192,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,311.40 : 349,707.90 = 128,205.80 : x
  2. Step 2: Convert to fraction form
    233,311.40/349,707.90 = 128,205.80/x
  3. Step 3: Cross multiply
    233,311.40x = 349,707.90 × 128,205.80
  4. Step 4: Simplify right side
    233,311.40x = 44,834,581,085.82
  5. Step 5: Solve for x
    x = 44,834,581,085.82/233,311.40
  6. Step 6: Final answer
    x = 192,166.27

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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.