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Finding the Fourth Proportional to 563,638.76, 845,212.38 and 213,185

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Solution

The fourth proportional to 563,638.76, 845,212.38 and 213,185 is: 319,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,638.76 : 845,212.38 = 213,185 : x
  2. Step 2: Convert to fraction form
    563,638.76/845,212.38 = 213,185/x
  3. Step 3: Cross multiply
    563,638.76x = 845,212.38 × 213,185
  4. Step 4: Simplify right side
    563,638.76x = 180,186,601,230.30
  5. Step 5: Solve for x
    x = 180,186,601,230.30/563,638.76
  6. Step 6: Final answer
    x = 319,684.55

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Why These Related Problems?

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