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Finding the Fourth Proportional to 475,090.72, 654,518.16 and 331,597.60

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Solution

The fourth proportional to 475,090.72, 654,518.16 and 331,597.60 is: 456,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,090.72 : 654,518.16 = 331,597.60 : x
  2. Step 2: Convert to fraction form
    475,090.72/654,518.16 = 331,597.60/x
  3. Step 3: Cross multiply
    475,090.72x = 654,518.16 × 331,597.60
  4. Step 4: Simplify right side
    475,090.72x = 217,036,651,012.42
  5. Step 5: Solve for x
    x = 217,036,651,012.42/475,090.72
  6. Step 6: Final answer
    x = 456,832.02

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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.