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Finding the Fourth Proportional to 557,881.62, 769,822.83 and 312,876.32

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Solution

The fourth proportional to 557,881.62, 769,822.83 and 312,876.32 is: 431,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,881.62 : 769,822.83 = 312,876.32 : x
  2. Step 2: Convert to fraction form
    557,881.62/769,822.83 = 312,876.32/x
  3. Step 3: Cross multiply
    557,881.62x = 769,822.83 × 312,876.32
  4. Step 4: Simplify right side
    557,881.62x = 240,859,333,703.56
  5. Step 5: Solve for x
    x = 240,859,333,703.56/557,881.62
  6. Step 6: Final answer
    x = 431,739.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.