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Finding the Fourth Proportional to 299,563,614.60, 449,345,421.90 and 146,307,985.80

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Solution

The fourth proportional to 299,563,614.60, 449,345,421.90 and 146,307,985.80 is: 219,461,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563,614.60 : 449,345,421.90 = 146,307,985.80 : x
  2. Step 2: Convert to fraction form
    299,563,614.60/449,345,421.90 = 146,307,985.80/x
  3. Step 3: Cross multiply
    299,563,614.60x = 449,345,421.90 × 146,307,985.80
  4. Step 4: Simplify right side
    299,563,614.60x = 65,742,823,606,640,208
  5. Step 5: Solve for x
    x = 65,742,823,606,640,208/299,563,614.60
  6. Step 6: Final answer
    x = 219,461,978.70

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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.