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Finding the Fourth Proportional to 667,089, 999,804.06 and 292,735.08

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Solution

The fourth proportional to 667,089, 999,804.06 and 292,735.08 is: 438,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,089 : 999,804.06 = 292,735.08 : x
  2. Step 2: Convert to fraction form
    667,089/999,804.06 = 292,735.08/x
  3. Step 3: Cross multiply
    667,089x = 999,804.06 × 292,735.08
  4. Step 4: Simplify right side
    667,089x = 292,677,721,488.43
  5. Step 5: Solve for x
    x = 292,677,721,488.43/667,089
  6. Step 6: Final answer
    x = 438,738.64

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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.