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Finding the Fourth Proportional to 538,988.56, 743,807.75 and 297,277.67

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Solution

The fourth proportional to 538,988.56, 743,807.75 and 297,277.67 is: 410,245.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,988.56 : 743,807.75 = 297,277.67 : x
  2. Step 2: Convert to fraction form
    538,988.56/743,807.75 = 297,277.67/x
  3. Step 3: Cross multiply
    538,988.56x = 743,807.75 × 297,277.67
  4. Step 4: Simplify right side
    538,988.56x = 221,117,435,221.07
  5. Step 5: Solve for x
    x = 221,117,435,221.07/538,988.56
  6. Step 6: Final answer
    x = 410,245.14

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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.