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Finding the Fourth Proportional to 482,287.29, 665,172.45 and 310,224.93

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Solution

The fourth proportional to 482,287.29, 665,172.45 and 310,224.93 is: 427,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,287.29 : 665,172.45 = 310,224.93 : x
  2. Step 2: Convert to fraction form
    482,287.29/665,172.45 = 310,224.93/x
  3. Step 3: Cross multiply
    482,287.29x = 665,172.45 × 310,224.93
  4. Step 4: Simplify right side
    482,287.29x = 206,353,076,739.18
  5. Step 5: Solve for x
    x = 206,353,076,739.18/482,287.29
  6. Step 6: Final answer
    x = 427,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.