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Finding the Fourth Proportional to 294,018.39, 405,315.86 and 207,825.28

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Solution

The fourth proportional to 294,018.39, 405,315.86 and 207,825.28 is: 286,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,018.39 : 405,315.86 = 207,825.28 : x
  2. Step 2: Convert to fraction form
    294,018.39/405,315.86 = 207,825.28/x
  3. Step 3: Cross multiply
    294,018.39x = 405,315.86 × 207,825.28
  4. Step 4: Simplify right side
    294,018.39x = 84,234,880,040.52
  5. Step 5: Solve for x
    x = 84,234,880,040.52/294,018.39
  6. Step 6: Final answer
    x = 286,495.28

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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.