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Finding the Fourth Proportional to 512,169.60, 768,254.40 and 461,431.20

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Solution

The fourth proportional to 512,169.60, 768,254.40 and 461,431.20 is: 692,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,169.60 : 768,254.40 = 461,431.20 : x
  2. Step 2: Convert to fraction form
    512,169.60/768,254.40 = 461,431.20/x
  3. Step 3: Cross multiply
    512,169.60x = 768,254.40 × 461,431.20
  4. Step 4: Simplify right side
    512,169.60x = 354,496,549,697.28
  5. Step 5: Solve for x
    x = 354,496,549,697.28/512,169.60
  6. Step 6: Final answer
    x = 692,146.80

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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.