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Finding the Fourth Proportional to 361,713,781.80, 542,570,672.70 and 345,085,583.40

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Solution

The fourth proportional to 361,713,781.80, 542,570,672.70 and 345,085,583.40 is: 517,628,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,713,781.80 : 542,570,672.70 = 345,085,583.40 : x
  2. Step 2: Convert to fraction form
    361,713,781.80/542,570,672.70 = 345,085,583.40/x
  3. Step 3: Cross multiply
    361,713,781.80x = 542,570,672.70 × 345,085,583.40
  4. Step 4: Simplify right side
    361,713,781.80x = 187,233,317,124,409,952
  5. Step 5: Solve for x
    x = 187,233,317,124,409,952/361,713,781.80
  6. Step 6: Final answer
    x = 517,628,375.10

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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.