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Finding the Fourth Proportional to 986,580, 1,361,481.62 and 533,871

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Solution

The fourth proportional to 986,580, 1,361,481.62 and 533,871 is: 736,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,580 : 1,361,481.62 = 533,871 : x
  2. Step 2: Convert to fraction form
    986,580/1,361,481.62 = 533,871/x
  3. Step 3: Cross multiply
    986,580x = 1,361,481.62 × 533,871
  4. Step 4: Simplify right side
    986,580x = 726,855,551,281.67
  5. Step 5: Solve for x
    x = 726,855,551,281.67/986,580
  6. Step 6: Final answer
    x = 736,742.64

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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.