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Finding the Fourth Proportional to 712,978.41, 983,910.21 and 411,172.41

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Solution

The fourth proportional to 712,978.41, 983,910.21 and 411,172.41 is: 567,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,978.41 : 983,910.21 = 411,172.41 : x
  2. Step 2: Convert to fraction form
    712,978.41/983,910.21 = 411,172.41/x
  3. Step 3: Cross multiply
    712,978.41x = 983,910.21 × 411,172.41
  4. Step 4: Simplify right side
    712,978.41x = 404,556,732,269.31
  5. Step 5: Solve for x
    x = 404,556,732,269.31/712,978.41
  6. Step 6: Final answer
    x = 567,417.93

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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.