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Finding the Fourth Proportional to 258,733,862.60, 388,100,793.90 and 212,817,360.20

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Solution

The fourth proportional to 258,733,862.60, 388,100,793.90 and 212,817,360.20 is: 319,226,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,733,862.60 : 388,100,793.90 = 212,817,360.20 : x
  2. Step 2: Convert to fraction form
    258,733,862.60/388,100,793.90 = 212,817,360.20/x
  3. Step 3: Cross multiply
    258,733,862.60x = 388,100,793.90 × 212,817,360.20
  4. Step 4: Simplify right side
    258,733,862.60x = 82,594,586,449,322,256
  5. Step 5: Solve for x
    x = 82,594,586,449,322,256/258,733,862.60
  6. Step 6: Final answer
    x = 319,226,040.30

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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.