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Finding the Fourth Proportional to 324,123.10, 486,184.65 and 87,465.40

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Solution

The fourth proportional to 324,123.10, 486,184.65 and 87,465.40 is: 131,198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,123.10 : 486,184.65 = 87,465.40 : x
  2. Step 2: Convert to fraction form
    324,123.10/486,184.65 = 87,465.40/x
  3. Step 3: Cross multiply
    324,123.10x = 486,184.65 × 87,465.40
  4. Step 4: Simplify right side
    324,123.10x = 42,524,334,886.11
  5. Step 5: Solve for x
    x = 42,524,334,886.11/324,123.10
  6. Step 6: Final answer
    x = 131,198.10

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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.