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Finding the Fourth Proportional to 299,563,611.60, 449,345,417.40 and 146,307,982.80

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Solution

The fourth proportional to 299,563,611.60, 449,345,417.40 and 146,307,982.80 is: 219,461,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563,611.60 : 449,345,417.40 = 146,307,982.80 : x
  2. Step 2: Convert to fraction form
    299,563,611.60/449,345,417.40 = 146,307,982.80/x
  3. Step 3: Cross multiply
    299,563,611.60x = 449,345,417.40 × 146,307,982.80
  4. Step 4: Simplify right side
    299,563,611.60x = 65,742,821,600,218,024
  5. Step 5: Solve for x
    x = 65,742,821,600,218,024/299,563,611.60
  6. Step 6: Final answer
    x = 219,461,974.20

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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.