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Finding the Fourth Proportional to 539,178.42, 808,871.31 and 206,728.50

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Solution

The fourth proportional to 539,178.42, 808,871.31 and 206,728.50 is: 310,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,178.42 : 808,871.31 = 206,728.50 : x
  2. Step 2: Convert to fraction form
    539,178.42/808,871.31 = 206,728.50/x
  3. Step 3: Cross multiply
    539,178.42x = 808,871.31 × 206,728.50
  4. Step 4: Simplify right side
    539,178.42x = 167,216,752,609.34
  5. Step 5: Solve for x
    x = 167,216,752,609.34/539,178.42
  6. Step 6: Final answer
    x = 310,132.50

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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.