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Finding the Fourth Proportional to 429,306.05, 644,003.17 and 113,762.95

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Solution

The fourth proportional to 429,306.05, 644,003.17 and 113,762.95 is: 170,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,306.05 : 644,003.17 = 113,762.95 : x
  2. Step 2: Convert to fraction form
    429,306.05/644,003.17 = 113,762.95/x
  3. Step 3: Cross multiply
    429,306.05x = 644,003.17 × 113,762.95
  4. Step 4: Simplify right side
    429,306.05x = 73,263,698,534.14
  5. Step 5: Solve for x
    x = 73,263,698,534.14/429,306.05
  6. Step 6: Final answer
    x = 170,656.10

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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.