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Finding the Fourth Proportional to 465,312.90, 641,968.23 and 304,262.22

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Solution

The fourth proportional to 465,312.90, 641,968.23 and 304,262.22 is: 419,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,312.90 : 641,968.23 = 304,262.22 : x
  2. Step 2: Convert to fraction form
    465,312.90/641,968.23 = 304,262.22/x
  3. Step 3: Cross multiply
    465,312.90x = 641,968.23 × 304,262.22
  4. Step 4: Simplify right side
    465,312.90x = 195,326,678,829.27
  5. Step 5: Solve for x
    x = 195,326,678,829.27/465,312.90
  6. Step 6: Final answer
    x = 419,774.91

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