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Finding the Fourth Proportional to 509,655.28, 765,073.48 and 273,459.28

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Solution

The fourth proportional to 509,655.28, 765,073.48 and 273,459.28 is: 410,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,655.28 : 765,073.48 = 273,459.28 : x
  2. Step 2: Convert to fraction form
    509,655.28/765,073.48 = 273,459.28/x
  3. Step 3: Cross multiply
    509,655.28x = 765,073.48 × 273,459.28
  4. Step 4: Simplify right side
    509,655.28x = 209,216,442,987.89
  5. Step 5: Solve for x
    x = 209,216,442,987.89/509,655.28
  6. Step 6: Final answer
    x = 410,505.79

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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.