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Finding the Fourth Proportional to 536,421.40, 804,120.10 and 199,371.80

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Solution

The fourth proportional to 536,421.40, 804,120.10 and 199,371.80 is: 298,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,421.40 : 804,120.10 = 199,371.80 : x
  2. Step 2: Convert to fraction form
    536,421.40/804,120.10 = 199,371.80/x
  3. Step 3: Cross multiply
    536,421.40x = 804,120.10 × 199,371.80
  4. Step 4: Simplify right side
    536,421.40x = 160,318,871,753.18
  5. Step 5: Solve for x
    x = 160,318,871,753.18/536,421.40
  6. Step 6: Final answer
    x = 298,867.40

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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.