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Finding the Fourth Proportional to 1,076,978,426.80, 1,615,467,640.20 and 668,495,815.60

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Solution

The fourth proportional to 1,076,978,426.80, 1,615,467,640.20 and 668,495,815.60 is: 1,002,743,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,978,426.80 : 1,615,467,640.20 = 668,495,815.60 : x
  2. Step 2: Convert to fraction form
    1,076,978,426.80/1,615,467,640.20 = 668,495,815.60/x
  3. Step 3: Cross multiply
    1,076,978,426.80x = 1,615,467,640.20 × 668,495,815.60
  4. Step 4: Simplify right side
    1,076,978,426.80x = 1,079,933,357,710,906,368
  5. Step 5: Solve for x
    x = 1,079,933,357,710,906,368/1,076,978,426.80
  6. Step 6: Final answer
    x = 1,002,743,723.40

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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.