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Finding the Fourth Proportional to 429,788.51, 644,599.38 and 408,451.59

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Solution

The fourth proportional to 429,788.51, 644,599.38 and 408,451.59 is: 612,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,788.51 : 644,599.38 = 408,451.59 : x
  2. Step 2: Convert to fraction form
    429,788.51/644,599.38 = 408,451.59/x
  3. Step 3: Cross multiply
    429,788.51x = 644,599.38 × 408,451.59
  4. Step 4: Simplify right side
    429,788.51x = 263,287,641,674.01
  5. Step 5: Solve for x
    x = 263,287,641,674.01/429,788.51
  6. Step 6: Final answer
    x = 612,598.14

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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.