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Finding the Fourth Proportional to 512,034.30, 764,158.06 and 455,284.75

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Solution

The fourth proportional to 512,034.30, 764,158.06 and 455,284.75 is: 679,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,034.30 : 764,158.06 = 455,284.75 : x
  2. Step 2: Convert to fraction form
    512,034.30/764,158.06 = 455,284.75/x
  3. Step 3: Cross multiply
    512,034.30x = 764,158.06 × 455,284.75
  4. Step 4: Simplify right side
    512,034.30x = 347,909,511,307.59
  5. Step 5: Solve for x
    x = 347,909,511,307.59/512,034.30
  6. Step 6: Final answer
    x = 679,465.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.