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Finding the Fourth Proportional to 990,647,972.80, 1,485,972,235.42 and 291,140,070.80

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Solution

The fourth proportional to 990,647,972.80, 1,485,972,235.42 and 291,140,070.80 is: 436,710,187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,647,972.80 : 1,485,972,235.42 = 291,140,070.80 : x
  2. Step 2: Convert to fraction form
    990,647,972.80/1,485,972,235.42 = 291,140,070.80/x
  3. Step 3: Cross multiply
    990,647,972.80x = 1,485,972,235.42 × 291,140,070.80
  4. Step 4: Simplify right side
    990,647,972.80x = 432,626,061,827,013,120
  5. Step 5: Solve for x
    x = 432,626,061,827,013,120/990,647,972.80
  6. Step 6: Final answer
    x = 436,710,187.38

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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.