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Finding the Fourth Proportional to 353,408.12, 530,109.70 and 143,043.02

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Solution

The fourth proportional to 353,408.12, 530,109.70 and 143,043.02 is: 214,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,408.12 : 530,109.70 = 143,043.02 : x
  2. Step 2: Convert to fraction form
    353,408.12/530,109.70 = 143,043.02/x
  3. Step 3: Cross multiply
    353,408.12x = 530,109.70 × 143,043.02
  4. Step 4: Simplify right side
    353,408.12x = 75,828,492,419.29
  5. Step 5: Solve for x
    x = 75,828,492,419.29/353,408.12
  6. Step 6: Final answer
    x = 214,563.53

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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.