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Finding the Fourth Proportional to 687,420,773.84, 948,661,197.72 and 423,255,164.96

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Solution

The fourth proportional to 687,420,773.84, 948,661,197.72 and 423,255,164.96 is: 584,104,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,420,773.84 : 948,661,197.72 = 423,255,164.96 : x
  2. Step 2: Convert to fraction form
    687,420,773.84/948,661,197.72 = 423,255,164.96/x
  3. Step 3: Cross multiply
    687,420,773.84x = 948,661,197.72 × 423,255,164.96
  4. Step 4: Simplify right side
    687,420,773.84x = 401,525,751,732,129,792
  5. Step 5: Solve for x
    x = 401,525,751,732,129,792/687,420,773.84
  6. Step 6: Final answer
    x = 584,104,768.16

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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.