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Finding the Fourth Proportional to 429,297,375.50, 643,809,549.34 and 138,096,715.32

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Solution

The fourth proportional to 429,297,375.50, 643,809,549.34 and 138,096,715.32 is: 207,101,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,297,375.50 : 643,809,549.34 = 138,096,715.32 : x
  2. Step 2: Convert to fraction form
    429,297,375.50/643,809,549.34 = 138,096,715.32/x
  3. Step 3: Cross multiply
    429,297,375.50x = 643,809,549.34 × 138,096,715.32
  4. Step 4: Simplify right side
    429,297,375.50x = 88,907,984,055,677,472
  5. Step 5: Solve for x
    x = 88,907,984,055,677,472/429,297,375.50
  6. Step 6: Final answer
    x = 207,101,159.08

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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.