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Finding the Fourth Proportional to 828,969.75, 1,143,978.30 and 471,273.75

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Solution

The fourth proportional to 828,969.75, 1,143,978.30 and 471,273.75 is: 650,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,969.75 : 1,143,978.30 = 471,273.75 : x
  2. Step 2: Convert to fraction form
    828,969.75/1,143,978.30 = 471,273.75/x
  3. Step 3: Cross multiply
    828,969.75x = 1,143,978.30 × 471,273.75
  4. Step 4: Simplify right side
    828,969.75x = 539,126,943,359.63
  5. Step 5: Solve for x
    x = 539,126,943,359.63/828,969.75
  6. Step 6: Final answer
    x = 650,357.80

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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.