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Finding the Fourth Proportional to 505,305,060.60, 757,957,590.90 and 431,328,473.40

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Solution

The fourth proportional to 505,305,060.60, 757,957,590.90 and 431,328,473.40 is: 646,992,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,305,060.60 : 757,957,590.90 = 431,328,473.40 : x
  2. Step 2: Convert to fraction form
    505,305,060.60/757,957,590.90 = 431,328,473.40/x
  3. Step 3: Cross multiply
    505,305,060.60x = 757,957,590.90 × 431,328,473.40
  4. Step 4: Simplify right side
    505,305,060.60x = 326,928,690,584,838,720
  5. Step 5: Solve for x
    x = 326,928,690,584,838,720/505,305,060.60
  6. Step 6: Final answer
    x = 646,992,710.10

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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.