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Finding the Fourth Proportional to 398,992,403.40, 557,228,875.80 and 398,992,403.40

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Solution

The fourth proportional to 398,992,403.40, 557,228,875.80 and 398,992,403.40 is: 557,228,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,992,403.40 : 557,228,875.80 = 398,992,403.40 : x
  2. Step 2: Convert to fraction form
    398,992,403.40/557,228,875.80 = 398,992,403.40/x
  3. Step 3: Cross multiply
    398,992,403.40x = 557,228,875.80 × 398,992,403.40
  4. Step 4: Simplify right side
    398,992,403.40x = 222,330,088,399,322,080
  5. Step 5: Solve for x
    x = 222,330,088,399,322,080/398,992,403.40
  6. Step 6: Final answer
    x = 557,228,875.80

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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.