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Finding the Fourth Proportional to 550,999.59, 826,178.14 and 213,646.11

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Solution

The fourth proportional to 550,999.59, 826,178.14 and 213,646.11 is: 320,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,999.59 : 826,178.14 = 213,646.11 : x
  2. Step 2: Convert to fraction form
    550,999.59/826,178.14 = 213,646.11/x
  3. Step 3: Cross multiply
    550,999.59x = 826,178.14 × 213,646.11
  4. Step 4: Simplify right side
    550,999.59x = 176,509,745,778.04
  5. Step 5: Solve for x
    x = 176,509,745,778.04/550,999.59
  6. Step 6: Final answer
    x = 320,344.60

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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.