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Finding the Fourth Proportional to 258,978,051.40, 388,467,077.10 and 177,348,713.80

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Solution

The fourth proportional to 258,978,051.40, 388,467,077.10 and 177,348,713.80 is: 266,023,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978,051.40 : 388,467,077.10 = 177,348,713.80 : x
  2. Step 2: Convert to fraction form
    258,978,051.40/388,467,077.10 = 177,348,713.80/x
  3. Step 3: Cross multiply
    258,978,051.40x = 388,467,077.10 × 177,348,713.80
  4. Step 4: Simplify right side
    258,978,051.40x = 68,894,136,477,330,440
  5. Step 5: Solve for x
    x = 68,894,136,477,330,440/258,978,051.40
  6. Step 6: Final answer
    x = 266,023,070.70

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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.