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Finding the Fourth Proportional to 353,453.40, 530,180.10 and 213,485.40

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Solution

The fourth proportional to 353,453.40, 530,180.10 and 213,485.40 is: 320,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,453.40 : 530,180.10 = 213,485.40 : x
  2. Step 2: Convert to fraction form
    353,453.40/530,180.10 = 213,485.40/x
  3. Step 3: Cross multiply
    353,453.40x = 530,180.10 × 213,485.40
  4. Step 4: Simplify right side
    353,453.40x = 113,185,710,720.54
  5. Step 5: Solve for x
    x = 113,185,710,720.54/353,453.40
  6. Step 6: Final answer
    x = 320,228.10

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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.