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Finding the Fourth Proportional to 663,784.76, 996,415.65 and 343,851.23

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Solution

The fourth proportional to 663,784.76, 996,415.65 and 343,851.23 is: 516,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,784.76 : 996,415.65 = 343,851.23 : x
  2. Step 2: Convert to fraction form
    663,784.76/996,415.65 = 343,851.23/x
  3. Step 3: Cross multiply
    663,784.76x = 996,415.65 × 343,851.23
  4. Step 4: Simplify right side
    663,784.76x = 342,618,746,843.75
  5. Step 5: Solve for x
    x = 342,618,746,843.75/663,784.76
  6. Step 6: Final answer
    x = 516,159.41

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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.