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Finding the Fourth Proportional to 860,930, 1,187,762.52 and 538,517.60

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Solution

The fourth proportional to 860,930, 1,187,762.52 and 538,517.60 is: 742,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,930 : 1,187,762.52 = 538,517.60 : x
  2. Step 2: Convert to fraction form
    860,930/1,187,762.52 = 538,517.60/x
  3. Step 3: Cross multiply
    860,930x = 1,187,762.52 × 538,517.60
  4. Step 4: Simplify right side
    860,930x = 639,631,021,640.35
  5. Step 5: Solve for x
    x = 639,631,021,640.35/860,930
  6. Step 6: Final answer
    x = 742,953.58

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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.