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Finding the Fourth Proportional to 970,798,241.40, 1,456,197,362.10 and 280,728,007.80

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Solution

The fourth proportional to 970,798,241.40, 1,456,197,362.10 and 280,728,007.80 is: 421,092,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,798,241.40 : 1,456,197,362.10 = 280,728,007.80 : x
  2. Step 2: Convert to fraction form
    970,798,241.40/1,456,197,362.10 = 280,728,007.80/x
  3. Step 3: Cross multiply
    970,798,241.40x = 1,456,197,362.10 × 280,728,007.80
  4. Step 4: Simplify right side
    970,798,241.40x = 408,795,384,425,948,224
  5. Step 5: Solve for x
    x = 408,795,384,425,948,224/970,798,241.40
  6. Step 6: Final answer
    x = 421,092,011.70

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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.