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Finding the Fourth Proportional to 541,943.84, 747,880.08 and 312,500

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Solution

The fourth proportional to 541,943.84, 747,880.08 and 312,500 is: 431,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,943.84 : 747,880.08 = 312,500 : x
  2. Step 2: Convert to fraction form
    541,943.84/747,880.08 = 312,500/x
  3. Step 3: Cross multiply
    541,943.84x = 747,880.08 × 312,500
  4. Step 4: Simplify right side
    541,943.84x = 233,712,525,000
  5. Step 5: Solve for x
    x = 233,712,525,000/541,943.84
  6. Step 6: Final answer
    x = 431,248.61

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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.