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Finding the Fourth Proportional to 398,693,138.40, 556,809,904.80 and 398,693,138.40

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Solution

The fourth proportional to 398,693,138.40, 556,809,904.80 and 398,693,138.40 is: 556,809,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,693,138.40 : 556,809,904.80 = 398,693,138.40 : x
  2. Step 2: Convert to fraction form
    398,693,138.40/556,809,904.80 = 398,693,138.40/x
  3. Step 3: Cross multiply
    398,693,138.40x = 556,809,904.80 × 398,693,138.40
  4. Step 4: Simplify right side
    398,693,138.40x = 221,996,288,436,917,184
  5. Step 5: Solve for x
    x = 221,996,288,436,917,184/398,693,138.40
  6. Step 6: Final answer
    x = 556,809,904.80

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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.