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Finding the Fourth Proportional to 539,438.60, 809,046.70 and 202,465.64

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Solution

The fourth proportional to 539,438.60, 809,046.70 and 202,465.64 is: 303,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,438.60 : 809,046.70 = 202,465.64 : x
  2. Step 2: Convert to fraction form
    539,438.60/809,046.70 = 202,465.64/x
  3. Step 3: Cross multiply
    539,438.60x = 809,046.70 × 202,465.64
  4. Step 4: Simplify right side
    539,438.60x = 163,804,159,421.84
  5. Step 5: Solve for x
    x = 163,804,159,421.84/539,438.60
  6. Step 6: Final answer
    x = 303,656.73

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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.