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Finding the Fourth Proportional to 345,408.57, 518,230.53 and 210,742.25

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Solution

The fourth proportional to 345,408.57, 518,230.53 and 210,742.25 is: 316,185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,408.57 : 518,230.53 = 210,742.25 : x
  2. Step 2: Convert to fraction form
    345,408.57/518,230.53 = 210,742.25/x
  3. Step 3: Cross multiply
    345,408.57x = 518,230.53 × 210,742.25
  4. Step 4: Simplify right side
    345,408.57x = 109,213,065,319.74
  5. Step 5: Solve for x
    x = 109,213,065,319.74/345,408.57
  6. Step 6: Final answer
    x = 316,185.16

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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.