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Finding the Fourth Proportional to 539,857.84, 809,703.76 and 180,035

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Solution

The fourth proportional to 539,857.84, 809,703.76 and 180,035 is: 270,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,857.84 : 809,703.76 = 180,035 : x
  2. Step 2: Convert to fraction form
    539,857.84/809,703.76 = 180,035/x
  3. Step 3: Cross multiply
    539,857.84x = 809,703.76 × 180,035
  4. Step 4: Simplify right side
    539,857.84x = 145,775,016,431.60
  5. Step 5: Solve for x
    x = 145,775,016,431.60/539,857.84
  6. Step 6: Final answer
    x = 270,024.82

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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.