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Finding the Fourth Proportional to 385,579.94, 577,363.89 and 310,288.82

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Solution

The fourth proportional to 385,579.94, 577,363.89 and 310,288.82 is: 464,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,579.94 : 577,363.89 = 310,288.82 : x
  2. Step 2: Convert to fraction form
    385,579.94/577,363.89 = 310,288.82/x
  3. Step 3: Cross multiply
    385,579.94x = 577,363.89 × 310,288.82
  4. Step 4: Simplify right side
    385,579.94x = 179,149,560,138.71
  5. Step 5: Solve for x
    x = 179,149,560,138.71/385,579.94
  6. Step 6: Final answer
    x = 464,623.65

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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.