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Finding the Fourth Proportional to 538,309.80, 809,214.30 and 461,327.40

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Solution

The fourth proportional to 538,309.80, 809,214.30 and 461,327.40 is: 693,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,309.80 : 809,214.30 = 461,327.40 : x
  2. Step 2: Convert to fraction form
    538,309.80/809,214.30 = 461,327.40/x
  3. Step 3: Cross multiply
    538,309.80x = 809,214.30 × 461,327.40
  4. Step 4: Simplify right side
    538,309.80x = 373,312,729,061.82
  5. Step 5: Solve for x
    x = 373,312,729,061.82/538,309.80
  6. Step 6: Final answer
    x = 693,490.49

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1.5x scale

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.