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Finding the Fourth Proportional to 557,362.88, 769,152.48 and 312,344

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Solution

The fourth proportional to 557,362.88, 769,152.48 and 312,344 is: 431,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,362.88 : 769,152.48 = 312,344 : x
  2. Step 2: Convert to fraction form
    557,362.88/769,152.48 = 312,344/x
  3. Step 3: Cross multiply
    557,362.88x = 769,152.48 × 312,344
  4. Step 4: Simplify right side
    557,362.88x = 240,240,162,213.12
  5. Step 5: Solve for x
    x = 240,240,162,213.12/557,362.88
  6. Step 6: Final answer
    x = 431,030.07

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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.