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Finding the Fourth Proportional to 429,698,283.04, 644,673,198.72 and 138,559,550.44

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Solution

The fourth proportional to 429,698,283.04, 644,673,198.72 and 138,559,550.44 is: 207,879,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,698,283.04 : 644,673,198.72 = 138,559,550.44 : x
  2. Step 2: Convert to fraction form
    429,698,283.04/644,673,198.72 = 138,559,550.44/x
  3. Step 3: Cross multiply
    429,698,283.04x = 644,673,198.72 × 138,559,550.44
  4. Step 4: Simplify right side
    429,698,283.04x = 89,325,628,595,359,984
  5. Step 5: Solve for x
    x = 89,325,628,595,359,984/429,698,283.04
  6. Step 6: Final answer
    x = 207,879,882.52

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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.