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Finding the Fourth Proportional to 290,487,276.80, 435,227,030.40 and 188,198,662.40

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Solution

The fourth proportional to 290,487,276.80, 435,227,030.40 and 188,198,662.40 is: 281,971,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,487,276.80 : 435,227,030.40 = 188,198,662.40 : x
  2. Step 2: Convert to fraction form
    290,487,276.80/435,227,030.40 = 188,198,662.40/x
  3. Step 3: Cross multiply
    290,487,276.80x = 435,227,030.40 × 188,198,662.40
  4. Step 4: Simplify right side
    290,487,276.80x = 81,909,144,961,604,128
  5. Step 5: Solve for x
    x = 81,909,144,961,604,128/290,487,276.80
  6. Step 6: Final answer
    x = 281,971,540.59

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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.