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Finding the Fourth Proportional to 771,412.32, 1,064,540.64 and 431,884.32

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Solution

The fourth proportional to 771,412.32, 1,064,540.64 and 431,884.32 is: 595,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,412.32 : 1,064,540.64 = 431,884.32 : x
  2. Step 2: Convert to fraction form
    771,412.32/1,064,540.64 = 431,884.32/x
  3. Step 3: Cross multiply
    771,412.32x = 1,064,540.64 × 431,884.32
  4. Step 4: Simplify right side
    771,412.32x = 459,758,410,418.77
  5. Step 5: Solve for x
    x = 459,758,410,418.77/771,412.32
  6. Step 6: Final answer
    x = 595,995.68

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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.