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Finding the Fourth Proportional to 347,110, 520,465.74 and 136,633.12

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Solution

The fourth proportional to 347,110, 520,465.74 and 136,633.12 is: 204,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,110 : 520,465.74 = 136,633.12 : x
  2. Step 2: Convert to fraction form
    347,110/520,465.74 = 136,633.12/x
  3. Step 3: Cross multiply
    347,110x = 520,465.74 × 136,633.12
  4. Step 4: Simplify right side
    347,110x = 71,112,857,909.31
  5. Step 5: Solve for x
    x = 71,112,857,909.31/347,110
  6. Step 6: Final answer
    x = 204,871.25

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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.