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Finding the Fourth Proportional to 420,770,437.80, 631,155,656.70 and 404,646,124.20

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Solution

The fourth proportional to 420,770,437.80, 631,155,656.70 and 404,646,124.20 is: 606,969,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,770,437.80 : 631,155,656.70 = 404,646,124.20 : x
  2. Step 2: Convert to fraction form
    420,770,437.80/631,155,656.70 = 404,646,124.20/x
  3. Step 3: Cross multiply
    420,770,437.80x = 631,155,656.70 × 404,646,124.20
  4. Step 4: Simplify right side
    420,770,437.80x = 255,394,690,250,560,768
  5. Step 5: Solve for x
    x = 255,394,690,250,560,768/420,770,437.80
  6. Step 6: Final answer
    x = 606,969,186.30

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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.