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Finding the Fourth Proportional to 512,419.20, 768,628.80 and 400,444.80

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Solution

The fourth proportional to 512,419.20, 768,628.80 and 400,444.80 is: 600,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,419.20 : 768,628.80 = 400,444.80 : x
  2. Step 2: Convert to fraction form
    512,419.20/768,628.80 = 400,444.80/x
  3. Step 3: Cross multiply
    512,419.20x = 768,628.80 × 400,444.80
  4. Step 4: Simplify right side
    512,419.20x = 307,793,406,090.24
  5. Step 5: Solve for x
    x = 307,793,406,090.24/512,419.20
  6. Step 6: Final answer
    x = 600,667.20

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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.