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Finding the Fourth Proportional to 432,580, 648,870 and 137,092

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Solution

The fourth proportional to 432,580, 648,870 and 137,092 is: 205,638

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,580 : 648,870 = 137,092 : x
  2. Step 2: Convert to fraction form
    432,580/648,870 = 137,092/x
  3. Step 3: Cross multiply
    432,580x = 648,870 × 137,092
  4. Step 4: Simplify right side
    432,580x = 88,954,886,040
  5. Step 5: Solve for x
    x = 88,954,886,040/432,580
  6. Step 6: Final answer
    x = 205,638

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.