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Finding the Fourth Proportional to 539,784, 809,676 and 165,807

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Solution

The fourth proportional to 539,784, 809,676 and 165,807 is: 248,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,784 : 809,676 = 165,807 : x
  2. Step 2: Convert to fraction form
    539,784/809,676 = 165,807/x
  3. Step 3: Cross multiply
    539,784x = 809,676 × 165,807
  4. Step 4: Simplify right side
    539,784x = 134,249,948,532
  5. Step 5: Solve for x
    x = 134,249,948,532/539,784
  6. Step 6: Final answer
    x = 248,710.50

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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.