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Finding the Fourth Proportional to 382,477,009.80, 573,715,514.70 and 123,877,819.20

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Solution

The fourth proportional to 382,477,009.80, 573,715,514.70 and 123,877,819.20 is: 185,816,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,477,009.80 : 573,715,514.70 = 123,877,819.20 : x
  2. Step 2: Convert to fraction form
    382,477,009.80/573,715,514.70 = 123,877,819.20/x
  3. Step 3: Cross multiply
    382,477,009.80x = 573,715,514.70 × 123,877,819.20
  4. Step 4: Simplify right side
    382,477,009.80x = 71,070,626,802,241,552
  5. Step 5: Solve for x
    x = 71,070,626,802,241,552/382,477,009.80
  6. Step 6: Final answer
    x = 185,816,728.80

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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.