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Finding the Fourth Proportional to 538,720, 743,505.60 and 348,288.64

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Solution

The fourth proportional to 538,720, 743,505.60 and 348,288.64 is: 480,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,720 : 743,505.60 = 348,288.64 : x
  2. Step 2: Convert to fraction form
    538,720/743,505.60 = 348,288.64/x
  3. Step 3: Cross multiply
    538,720x = 743,505.60 × 348,288.64
  4. Step 4: Simplify right side
    538,720x = 258,954,554,256.38
  5. Step 5: Solve for x
    x = 258,954,554,256.38/538,720
  6. Step 6: Final answer
    x = 480,684.87

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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.