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Finding the Fourth Proportional to 305,334.81, 458,284.10 and 220,034.25

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Solution

The fourth proportional to 305,334.81, 458,284.10 and 220,034.25 is: 330,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,334.81 : 458,284.10 = 220,034.25 : x
  2. Step 2: Convert to fraction form
    305,334.81/458,284.10 = 220,034.25/x
  3. Step 3: Cross multiply
    305,334.81x = 458,284.10 × 220,034.25
  4. Step 4: Simplify right side
    305,334.81x = 100,838,197,130.25
  5. Step 5: Solve for x
    x = 100,838,197,130.25/305,334.81
  6. Step 6: Final answer
    x = 330,254.51

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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.