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Finding the Fourth Proportional to 343,378.36, 514,969.02 and 103,515.64

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Solution

The fourth proportional to 343,378.36, 514,969.02 and 103,515.64 is: 155,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,378.36 : 514,969.02 = 103,515.64 : x
  2. Step 2: Convert to fraction form
    343,378.36/514,969.02 = 103,515.64/x
  3. Step 3: Cross multiply
    343,378.36x = 514,969.02 × 103,515.64
  4. Step 4: Simplify right side
    343,378.36x = 53,307,347,685.47
  5. Step 5: Solve for x
    x = 53,307,347,685.47/343,378.36
  6. Step 6: Final answer
    x = 155,243.76

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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.