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Finding the Fourth Proportional to 275,159,266.80, 412,920,503.58 and 145,857,678.60

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Solution

The fourth proportional to 275,159,266.80, 412,920,503.58 and 145,857,678.60 is: 218,882,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,159,266.80 : 412,920,503.58 = 145,857,678.60 : x
  2. Step 2: Convert to fraction form
    275,159,266.80/412,920,503.58 = 145,857,678.60/x
  3. Step 3: Cross multiply
    275,159,266.80x = 412,920,503.58 × 145,857,678.60
  4. Step 4: Simplify right side
    275,159,266.80x = 60,227,626,098,521,784
  5. Step 5: Solve for x
    x = 60,227,626,098,521,784/275,159,266.80
  6. Step 6: Final answer
    x = 218,882,783.05

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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.