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Finding the Fourth Proportional to 429,792.50, 644,789.59 and 422,651.94

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Solution

The fourth proportional to 429,792.50, 644,789.59 and 422,651.94 is: 634,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,792.50 : 644,789.59 = 422,651.94 : x
  2. Step 2: Convert to fraction form
    429,792.50/644,789.59 = 422,651.94/x
  3. Step 3: Cross multiply
    429,792.50x = 644,789.59 × 422,651.94
  4. Step 4: Simplify right side
    429,792.50x = 272,521,572,717.28
  5. Step 5: Solve for x
    x = 272,521,572,717.28/429,792.50
  6. Step 6: Final answer
    x = 634,077.08

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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.