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Finding the Fourth Proportional to 299,583,559.20, 448,380,010.80 and 217,468,999.20

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Solution

The fourth proportional to 299,583,559.20, 448,380,010.80 and 217,468,999.20 is: 325,480,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583,559.20 : 448,380,010.80 = 217,468,999.20 : x
  2. Step 2: Convert to fraction form
    299,583,559.20/448,380,010.80 = 217,468,999.20/x
  3. Step 3: Cross multiply
    299,583,559.20x = 448,380,010.80 × 217,468,999.20
  4. Step 4: Simplify right side
    299,583,559.20x = 97,508,752,209,961,184
  5. Step 5: Solve for x
    x = 97,508,752,209,961,184/299,583,559.20
  6. Step 6: Final answer
    x = 325,480,985.91

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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.