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Finding the Fourth Proportional to 535,806.40, 803,417.60 and 161,780.80

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Solution

The fourth proportional to 535,806.40, 803,417.60 and 161,780.80 is: 242,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,806.40 : 803,417.60 = 161,780.80 : x
  2. Step 2: Convert to fraction form
    535,806.40/803,417.60 = 161,780.80/x
  3. Step 3: Cross multiply
    535,806.40x = 803,417.60 × 161,780.80
  4. Step 4: Simplify right side
    535,806.40x = 129,977,542,062.08
  5. Step 5: Solve for x
    x = 129,977,542,062.08/535,806.40
  6. Step 6: Final answer
    x = 242,583.03

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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.