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Finding the Fourth Proportional to 429,673.86, 644,904.45 and 428,066.43

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Solution

The fourth proportional to 429,673.86, 644,904.45 and 428,066.43 is: 642,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,673.86 : 644,904.45 = 428,066.43 : x
  2. Step 2: Convert to fraction form
    429,673.86/644,904.45 = 428,066.43/x
  3. Step 3: Cross multiply
    429,673.86x = 644,904.45 × 428,066.43
  4. Step 4: Simplify right side
    429,673.86x = 276,061,945,602.61
  5. Step 5: Solve for x
    x = 276,061,945,602.61/429,673.86
  6. Step 6: Final answer
    x = 642,491.83

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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.