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Finding the Fourth Proportional to 320,522.81, 480,852.27 and 120,838.37

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Solution

The fourth proportional to 320,522.81, 480,852.27 and 120,838.37 is: 181,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,522.81 : 480,852.27 = 120,838.37 : x
  2. Step 2: Convert to fraction form
    320,522.81/480,852.27 = 120,838.37/x
  3. Step 3: Cross multiply
    320,522.81x = 480,852.27 × 120,838.37
  4. Step 4: Simplify right side
    320,522.81x = 58,105,402,113.34
  5. Step 5: Solve for x
    x = 58,105,402,113.34/320,522.81
  6. Step 6: Final answer
    x = 181,283.21

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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.