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Finding the Fourth Proportional to 342,408.47, 513,716.18 and 102,530.21

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Solution

The fourth proportional to 342,408.47, 513,716.18 and 102,530.21 is: 153,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,408.47 : 513,716.18 = 102,530.21 : x
  2. Step 2: Convert to fraction form
    342,408.47/513,716.18 = 102,530.21/x
  3. Step 3: Cross multiply
    342,408.47x = 513,716.18 × 102,530.21
  4. Step 4: Simplify right side
    342,408.47x = 52,671,424,734.57
  5. Step 5: Solve for x
    x = 52,671,424,734.57/342,408.47
  6. Step 6: Final answer
    x = 153,826.29

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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.