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Finding the Fourth Proportional to 320,989.18, 481,482.61 and 96,348.64

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Solution

The fourth proportional to 320,989.18, 481,482.61 and 96,348.64 is: 144,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,989.18 : 481,482.61 = 96,348.64 : x
  2. Step 2: Convert to fraction form
    320,989.18/481,482.61 = 96,348.64/x
  3. Step 3: Cross multiply
    320,989.18x = 481,482.61 × 96,348.64
  4. Step 4: Simplify right side
    320,989.18x = 46,390,194,657.15
  5. Step 5: Solve for x
    x = 46,390,194,657.15/320,989.18
  6. Step 6: Final answer
    x = 144,522.61

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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.