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Finding the Fourth Proportional to 1,398,507,513, 1,929,933,638.86 and 771,970,460.44

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Solution

The fourth proportional to 1,398,507,513, 1,929,933,638.86 and 771,970,460.44 is: 1,065,315,520.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,507,513 : 1,929,933,638.86 = 771,970,460.44 : x
  2. Step 2: Convert to fraction form
    1,398,507,513/1,929,933,638.86 = 771,970,460.44/x
  3. Step 3: Cross multiply
    1,398,507,513x = 1,929,933,638.86 × 771,970,460.44
  4. Step 4: Simplify right side
    1,398,507,513x = 1,489,851,759,809,398,784
  5. Step 5: Solve for x
    x = 1,489,851,759,809,398,784/1,398,507,513
  6. Step 6: Final answer
    x = 1,065,315,520.98

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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.