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Finding the Fourth Proportional to 353,643.20, 530,497.20 and 143,237.60

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Solution

The fourth proportional to 353,643.20, 530,497.20 and 143,237.60 is: 214,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,643.20 : 530,497.20 = 143,237.60 : x
  2. Step 2: Convert to fraction form
    353,643.20/530,497.20 = 143,237.60/x
  3. Step 3: Cross multiply
    353,643.20x = 530,497.20 × 143,237.60
  4. Step 4: Simplify right side
    353,643.20x = 75,987,145,734.72
  5. Step 5: Solve for x
    x = 75,987,145,734.72/353,643.20
  6. Step 6: Final answer
    x = 214,869.52

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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.