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Finding the Fourth Proportional to 991,383, 1,368,116.84 and 538,674

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Solution

The fourth proportional to 991,383, 1,368,116.84 and 538,674 is: 743,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,383 : 1,368,116.84 = 538,674 : x
  2. Step 2: Convert to fraction form
    991,383/1,368,116.84 = 538,674/x
  3. Step 3: Cross multiply
    991,383x = 1,368,116.84 × 538,674
  4. Step 4: Simplify right side
    991,383x = 736,968,970,670.16
  5. Step 5: Solve for x
    x = 736,968,970,670.16/991,383
  6. Step 6: Final answer
    x = 743,374.63

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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.