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Finding the Fourth Proportional to 429,788.01, 644,598.63 and 408,451.09

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Solution

The fourth proportional to 429,788.01, 644,598.63 and 408,451.09 is: 612,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,788.01 : 644,598.63 = 408,451.09 : x
  2. Step 2: Convert to fraction form
    429,788.01/644,598.63 = 408,451.09/x
  3. Step 3: Cross multiply
    429,788.01x = 644,598.63 × 408,451.09
  4. Step 4: Simplify right side
    429,788.01x = 263,287,013,036.01
  5. Step 5: Solve for x
    x = 263,287,013,036.01/429,788.01
  6. Step 6: Final answer
    x = 612,597.39

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1.5x scale

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.