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Finding the Fourth Proportional to 299,081,604.60, 448,622,406.90 and 137,838,468.60

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Solution

The fourth proportional to 299,081,604.60, 448,622,406.90 and 137,838,468.60 is: 206,757,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,081,604.60 : 448,622,406.90 = 137,838,468.60 : x
  2. Step 2: Convert to fraction form
    299,081,604.60/448,622,406.90 = 137,838,468.60/x
  3. Step 3: Cross multiply
    299,081,604.60x = 448,622,406.90 × 137,838,468.60
  4. Step 4: Simplify right side
    299,081,604.60x = 61,837,425,546,742,064
  5. Step 5: Solve for x
    x = 61,837,425,546,742,064/299,081,604.60
  6. Step 6: Final answer
    x = 206,757,702.90

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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.