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Finding the Fourth Proportional to 538,742.80, 809,669.40 and 529,411.60

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Solution

The fourth proportional to 538,742.80, 809,669.40 and 529,411.60 is: 795,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,742.80 : 809,669.40 = 529,411.60 : x
  2. Step 2: Convert to fraction form
    538,742.80/809,669.40 = 529,411.60/x
  3. Step 3: Cross multiply
    538,742.80x = 809,669.40 × 529,411.60
  4. Step 4: Simplify right side
    538,742.80x = 428,648,372,525.04
  5. Step 5: Solve for x
    x = 428,648,372,525.04/538,742.80
  6. Step 6: Final answer
    x = 795,645.66

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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.