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Finding the Fourth Proportional to 298,334.84, 410,903.64 and 258,050.28

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Solution

The fourth proportional to 298,334.84, 410,903.64 and 258,050.28 is: 355,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,334.84 : 410,903.64 = 258,050.28 : x
  2. Step 2: Convert to fraction form
    298,334.84/410,903.64 = 258,050.28/x
  3. Step 3: Cross multiply
    298,334.84x = 410,903.64 × 258,050.28
  4. Step 4: Simplify right side
    298,334.84x = 106,033,799,355.02
  5. Step 5: Solve for x
    x = 106,033,799,355.02/298,334.84
  6. Step 6: Final answer
    x = 355,418.76

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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.