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Finding the Fourth Proportional to 704,804.90, 972,188.33 and 418,122

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Solution

The fourth proportional to 704,804.90, 972,188.33 and 418,122 is: 576,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,804.90 : 972,188.33 = 418,122 : x
  2. Step 2: Convert to fraction form
    704,804.90/972,188.33 = 418,122/x
  3. Step 3: Cross multiply
    704,804.90x = 972,188.33 × 418,122
  4. Step 4: Simplify right side
    704,804.90x = 406,493,326,825.65
  5. Step 5: Solve for x
    x = 406,493,326,825.65/704,804.90
  6. Step 6: Final answer
    x = 576,745.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.