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Finding the Fourth Proportional to 398,771,804.80, 559,086,742.40 and 398,771,804.80

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Solution

The fourth proportional to 398,771,804.80, 559,086,742.40 and 398,771,804.80 is: 559,086,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,771,804.80 : 559,086,742.40 = 398,771,804.80 : x
  2. Step 2: Convert to fraction form
    398,771,804.80/559,086,742.40 = 398,771,804.80/x
  3. Step 3: Cross multiply
    398,771,804.80x = 559,086,742.40 × 398,771,804.80
  4. Step 4: Simplify right side
    398,771,804.80x = 222,948,029,306,600,672
  5. Step 5: Solve for x
    x = 222,948,029,306,600,672/398,771,804.80
  6. Step 6: Final answer
    x = 559,086,742.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.