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Finding the Fourth Proportional to 538,580.40, 743,246.16 and 296,872.32

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Solution

The fourth proportional to 538,580.40, 743,246.16 and 296,872.32 is: 409,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,580.40 : 743,246.16 = 296,872.32 : x
  2. Step 2: Convert to fraction form
    538,580.40/743,246.16 = 296,872.32/x
  3. Step 3: Cross multiply
    538,580.40x = 743,246.16 × 296,872.32
  4. Step 4: Simplify right side
    538,580.40x = 220,649,211,850.29
  5. Step 5: Solve for x
    x = 220,649,211,850.29/538,580.40
  6. Step 6: Final answer
    x = 409,686.67

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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.