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Finding the Fourth Proportional to 527,940.12, 728,547.82 and 298,493.44

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Solution

The fourth proportional to 527,940.12, 728,547.82 and 298,493.44 is: 411,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,940.12 : 728,547.82 = 298,493.44 : x
  2. Step 2: Convert to fraction form
    527,940.12/728,547.82 = 298,493.44/x
  3. Step 3: Cross multiply
    527,940.12x = 728,547.82 × 298,493.44
  4. Step 4: Simplify right side
    527,940.12x = 217,466,744,996.30
  5. Step 5: Solve for x
    x = 217,466,744,996.30/527,940.12
  6. Step 6: Final answer
    x = 411,915.55

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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.