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Finding the Fourth Proportional to 512,002.64, 767,431.70 and 191,846.50

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Solution

The fourth proportional to 512,002.64, 767,431.70 and 191,846.50 is: 287,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,002.64 : 767,431.70 = 191,846.50 : x
  2. Step 2: Convert to fraction form
    512,002.64/767,431.70 = 191,846.50/x
  3. Step 3: Cross multiply
    512,002.64x = 767,431.70 × 191,846.50
  4. Step 4: Simplify right side
    512,002.64x = 147,229,080,837.66
  5. Step 5: Solve for x
    x = 147,229,080,837.66/512,002.64
  6. Step 6: Final answer
    x = 287,555.32

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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.