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Finding the Fourth Proportional to 509,653.90, 765,071.42 and 273,457.90

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Solution

The fourth proportional to 509,653.90, 765,071.42 and 273,457.90 is: 410,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,653.90 : 765,071.42 = 273,457.90 : x
  2. Step 2: Convert to fraction form
    509,653.90/765,071.42 = 273,457.90/x
  3. Step 3: Cross multiply
    509,653.90x = 765,071.42 × 273,457.90
  4. Step 4: Simplify right side
    509,653.90x = 209,214,823,452.27
  5. Step 5: Solve for x
    x = 209,214,823,452.27/509,653.90
  6. Step 6: Final answer
    x = 410,503.72

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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.