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Finding the Fourth Proportional to 624,294.56, 861,376.64 and 379,274.40

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Solution

The fourth proportional to 624,294.56, 861,376.64 and 379,274.40 is: 523,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,294.56 : 861,376.64 = 379,274.40 : x
  2. Step 2: Convert to fraction form
    624,294.56/861,376.64 = 379,274.40/x
  3. Step 3: Cross multiply
    624,294.56x = 861,376.64 × 379,274.40
  4. Step 4: Simplify right side
    624,294.56x = 326,698,108,310.02
  5. Step 5: Solve for x
    x = 326,698,108,310.02/624,294.56
  6. Step 6: Final answer
    x = 523,307.63

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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.