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Finding the Fourth Proportional to 320,740.74, 481,483.80 and 187,716.47

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Solution

The fourth proportional to 320,740.74, 481,483.80 and 187,716.47 is: 281,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,740.74 : 481,483.80 = 187,716.47 : x
  2. Step 2: Convert to fraction form
    320,740.74/481,483.80 = 187,716.47/x
  3. Step 3: Cross multiply
    320,740.74x = 481,483.80 × 187,716.47
  4. Step 4: Simplify right side
    320,740.74x = 90,382,436,890.77
  5. Step 5: Solve for x
    x = 90,382,436,890.77/320,740.74
  6. Step 6: Final answer
    x = 281,792.82

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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.