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Finding the Fourth Proportional to 512,735.56, 707,589.66 and 286,395.64

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Solution

The fourth proportional to 512,735.56, 707,589.66 and 286,395.64 is: 395,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,735.56 : 707,589.66 = 286,395.64 : x
  2. Step 2: Convert to fraction form
    512,735.56/707,589.66 = 286,395.64/x
  3. Step 3: Cross multiply
    512,735.56x = 707,589.66 × 286,395.64
  4. Step 4: Simplify right side
    512,735.56x = 202,650,593,533.08
  5. Step 5: Solve for x
    x = 202,650,593,533.08/512,735.56
  6. Step 6: Final answer
    x = 395,234.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.