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Finding the Fourth Proportional to 541,947.84, 747,885.60 and 312,504

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Solution

The fourth proportional to 541,947.84, 747,885.60 and 312,504 is: 431,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,947.84 : 747,885.60 = 312,504 : x
  2. Step 2: Convert to fraction form
    541,947.84/747,885.60 = 312,504/x
  3. Step 3: Cross multiply
    541,947.84x = 747,885.60 × 312,504
  4. Step 4: Simplify right side
    541,947.84x = 233,717,241,542.40
  5. Step 5: Solve for x
    x = 233,717,241,542.40/541,947.84
  6. Step 6: Final answer
    x = 431,254.13

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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.