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Finding the Fourth Proportional to 536,419.40, 804,117.10 and 199,369.80

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Solution

The fourth proportional to 536,419.40, 804,117.10 and 199,369.80 is: 298,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,419.40 : 804,117.10 = 199,369.80 : x
  2. Step 2: Convert to fraction form
    536,419.40/804,117.10 = 199,369.80/x
  3. Step 3: Cross multiply
    536,419.40x = 804,117.10 × 199,369.80
  4. Step 4: Simplify right side
    536,419.40x = 160,316,665,403.58
  5. Step 5: Solve for x
    x = 160,316,665,403.58/536,419.40
  6. Step 6: Final answer
    x = 298,864.41

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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.