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Finding the Fourth Proportional to 538,543.49, 743,206.61 and 309,142.69

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Solution

The fourth proportional to 538,543.49, 743,206.61 and 309,142.69 is: 426,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,543.49 : 743,206.61 = 309,142.69 : x
  2. Step 2: Convert to fraction form
    538,543.49/743,206.61 = 309,142.69/x
  3. Step 3: Cross multiply
    538,543.49x = 743,206.61 × 309,142.69
  4. Step 4: Simplify right side
    538,543.49x = 229,756,887,237.45
  5. Step 5: Solve for x
    x = 229,756,887,237.45/538,543.49
  6. Step 6: Final answer
    x = 426,626.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.