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Finding the Fourth Proportional to 534,274.38, 800,139.47 and 309,160.40

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Solution

The fourth proportional to 534,274.38, 800,139.47 and 309,160.40 is: 463,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,274.38 : 800,139.47 = 309,160.40 : x
  2. Step 2: Convert to fraction form
    534,274.38/800,139.47 = 309,160.40/x
  3. Step 3: Cross multiply
    534,274.38x = 800,139.47 × 309,160.40
  4. Step 4: Simplify right side
    534,274.38x = 247,371,433,054.49
  5. Step 5: Solve for x
    x = 247,371,433,054.49/534,274.38
  6. Step 6: Final answer
    x = 463,004.48

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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.