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Finding the Fourth Proportional to 505,654.07, 757,617.68 and 278,140.03

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Solution

The fourth proportional to 505,654.07, 757,617.68 and 278,140.03 is: 416,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,654.07 : 757,617.68 = 278,140.03 : x
  2. Step 2: Convert to fraction form
    505,654.07/757,617.68 = 278,140.03/x
  3. Step 3: Cross multiply
    505,654.07x = 757,617.68 × 278,140.03
  4. Step 4: Simplify right side
    505,654.07x = 210,723,803,045.04
  5. Step 5: Solve for x
    x = 210,723,803,045.04/505,654.07
  6. Step 6: Final answer
    x = 416,735.11

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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.