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Finding the Fourth Proportional to 1,229,253,972.57, 1,695,298,409.43 and 871,313,762.43

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Solution

The fourth proportional to 1,229,253,972.57, 1,695,298,409.43 and 871,313,762.43 is: 1,201,653,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,253,972.57 : 1,695,298,409.43 = 871,313,762.43 : x
  2. Step 2: Convert to fraction form
    1,229,253,972.57/1,695,298,409.43 = 871,313,762.43/x
  3. Step 3: Cross multiply
    1,229,253,972.57x = 1,695,298,409.43 × 871,313,762.43
  4. Step 4: Simplify right side
    1,229,253,972.57x = 1,477,136,835,558,736,640
  5. Step 5: Solve for x
    x = 1,477,136,835,558,736,640/1,229,253,972.57
  6. Step 6: Final answer
    x = 1,201,653,090.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.