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Finding the Fourth Proportional to 557,363.88, 769,153.86 and 312,345

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Solution

The fourth proportional to 557,363.88, 769,153.86 and 312,345 is: 431,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,363.88 : 769,153.86 = 312,345 : x
  2. Step 2: Convert to fraction form
    557,363.88/769,153.86 = 312,345/x
  3. Step 3: Cross multiply
    557,363.88x = 769,153.86 × 312,345
  4. Step 4: Simplify right side
    557,363.88x = 240,241,362,401.70
  5. Step 5: Solve for x
    x = 240,241,362,401.70/557,363.88
  6. Step 6: Final answer
    x = 431,031.45

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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.