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Finding the Fourth Proportional to 369,768.43, 510,270.08 and 208,638.47

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Solution

The fourth proportional to 369,768.43, 510,270.08 and 208,638.47 is: 287,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,768.43 : 510,270.08 = 208,638.47 : x
  2. Step 2: Convert to fraction form
    369,768.43/510,270.08 = 208,638.47/x
  3. Step 3: Cross multiply
    369,768.43x = 510,270.08 × 208,638.47
  4. Step 4: Simplify right side
    369,768.43x = 106,461,969,466.49
  5. Step 5: Solve for x
    x = 106,461,969,466.49/369,768.43
  6. Step 6: Final answer
    x = 287,915.25

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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.