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Finding the Fourth Proportional to 821,391,561, 1,133,520,367.14 and 450,128,203.56

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Solution

The fourth proportional to 821,391,561, 1,133,520,367.14 and 450,128,203.56 is: 621,176,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,391,561 : 1,133,520,367.14 = 450,128,203.56 : x
  2. Step 2: Convert to fraction form
    821,391,561/1,133,520,367.14 = 450,128,203.56/x
  3. Step 3: Cross multiply
    821,391,561x = 1,133,520,367.14 × 450,128,203.56
  4. Step 4: Simplify right side
    821,391,561x = 510,229,486,559,399,936
  5. Step 5: Solve for x
    x = 510,229,486,559,399,936/821,391,561
  6. Step 6: Final answer
    x = 621,176,928.01

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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.