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Finding the Fourth Proportional to 537,449.54, 806,312.81 and 385,822.40

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Solution

The fourth proportional to 537,449.54, 806,312.81 and 385,822.40 is: 578,833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,449.54 : 806,312.81 = 385,822.40 : x
  2. Step 2: Convert to fraction form
    537,449.54/806,312.81 = 385,822.40/x
  3. Step 3: Cross multiply
    537,449.54x = 806,312.81 × 385,822.40
  4. Step 4: Simplify right side
    537,449.54x = 311,093,543,504.94
  5. Step 5: Solve for x
    x = 311,093,543,504.94/537,449.54
  6. Step 6: Final answer
    x = 578,833.03

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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.