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Finding the Fourth Proportional to 299,380,809.60, 449,071,214.40 and 170,386,300.80

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Solution

The fourth proportional to 299,380,809.60, 449,071,214.40 and 170,386,300.80 is: 255,579,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,380,809.60 : 449,071,214.40 = 170,386,300.80 : x
  2. Step 2: Convert to fraction form
    299,380,809.60/449,071,214.40 = 170,386,300.80/x
  3. Step 3: Cross multiply
    299,380,809.60x = 449,071,214.40 × 170,386,300.80
  4. Step 4: Simplify right side
    299,380,809.60x = 76,515,583,017,379,696
  5. Step 5: Solve for x
    x = 76,515,583,017,379,696/299,380,809.60
  6. Step 6: Final answer
    x = 255,579,451.20

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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.