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Finding the Fourth Proportional to 431,596.77, 646,635.17 and 384,629.12

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Solution

The fourth proportional to 431,596.77, 646,635.17 and 384,629.12 is: 576,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,596.77 : 646,635.17 = 384,629.12 : x
  2. Step 2: Convert to fraction form
    431,596.77/646,635.17 = 384,629.12/x
  3. Step 3: Cross multiply
    431,596.77x = 646,635.17 × 384,629.12
  4. Step 4: Simplify right side
    431,596.77x = 248,714,714,475.01
  5. Step 5: Solve for x
    x = 248,714,714,475.01/431,596.77
  6. Step 6: Final answer
    x = 576,266.40

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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.