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Finding the Fourth Proportional to 535,540.90, 803,314.09 and 180,558

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Solution

The fourth proportional to 535,540.90, 803,314.09 and 180,558 is: 270,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,540.90 : 803,314.09 = 180,558 : x
  2. Step 2: Convert to fraction form
    535,540.90/803,314.09 = 180,558/x
  3. Step 3: Cross multiply
    535,540.90x = 803,314.09 × 180,558
  4. Step 4: Simplify right side
    535,540.90x = 145,044,785,462.22
  5. Step 5: Solve for x
    x = 145,044,785,462.22/535,540.90
  6. Step 6: Final answer
    x = 270,837.92

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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.