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Finding the Fourth Proportional to 661,265,853.30, 990,765,039.15 and 431,116,470.90

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Solution

The fourth proportional to 661,265,853.30, 990,765,039.15 and 431,116,470.90 is: 645,935,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,265,853.30 : 990,765,039.15 = 431,116,470.90 : x
  2. Step 2: Convert to fraction form
    661,265,853.30/990,765,039.15 = 431,116,470.90/x
  3. Step 3: Cross multiply
    661,265,853.30x = 990,765,039.15 × 431,116,470.90
  4. Step 4: Simplify right side
    661,265,853.30x = 427,135,127,169,448,320
  5. Step 5: Solve for x
    x = 427,135,127,169,448,320/661,265,853.30
  6. Step 6: Final answer
    x = 645,935,556.84

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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.