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Finding the Fourth Proportional to 633,142.12, 948,759.78 and 380,145.86

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Solution

The fourth proportional to 633,142.12, 948,759.78 and 380,145.86 is: 569,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,142.12 : 948,759.78 = 380,145.86 : x
  2. Step 2: Convert to fraction form
    633,142.12/948,759.78 = 380,145.86/x
  3. Step 3: Cross multiply
    633,142.12x = 948,759.78 × 380,145.86
  4. Step 4: Simplify right side
    633,142.12x = 360,667,102,741.11
  5. Step 5: Solve for x
    x = 360,667,102,741.11/633,142.12
  6. Step 6: Final answer
    x = 569,646.36

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1.5x scale

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.