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Finding the Fourth Proportional to 509,655.90, 765,074.42 and 273,459.90

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Solution

The fourth proportional to 509,655.90, 765,074.42 and 273,459.90 is: 410,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,655.90 : 765,074.42 = 273,459.90 : x
  2. Step 2: Convert to fraction form
    509,655.90/765,074.42 = 273,459.90/x
  3. Step 3: Cross multiply
    509,655.90x = 765,074.42 × 273,459.90
  4. Step 4: Simplify right side
    509,655.90x = 209,217,174,385.76
  5. Step 5: Solve for x
    x = 209,217,174,385.76/509,655.90
  6. Step 6: Final answer
    x = 410,506.72

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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.