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Finding the Fourth Proportional to 342,263.90, 472,315.92 and 189,298.10

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Solution

The fourth proportional to 342,263.90, 472,315.92 and 189,298.10 is: 261,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,263.90 : 472,315.92 = 189,298.10 : x
  2. Step 2: Convert to fraction form
    342,263.90/472,315.92 = 189,298.10/x
  3. Step 3: Cross multiply
    342,263.90x = 472,315.92 × 189,298.10
  4. Step 4: Simplify right side
    342,263.90x = 89,408,506,255.75
  5. Step 5: Solve for x
    x = 89,408,506,255.75/342,263.90
  6. Step 6: Final answer
    x = 261,226.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.