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Finding the Fourth Proportional to 699,840, 1,049,915.52 and 256,608

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Solution

The fourth proportional to 699,840, 1,049,915.52 and 256,608 is: 384,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,840 : 1,049,915.52 = 256,608 : x
  2. Step 2: Convert to fraction form
    699,840/1,049,915.52 = 256,608/x
  3. Step 3: Cross multiply
    699,840x = 1,049,915.52 × 256,608
  4. Step 4: Simplify right side
    699,840x = 269,416,721,756.16
  5. Step 5: Solve for x
    x = 269,416,721,756.16/699,840
  6. Step 6: Final answer
    x = 384,969.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.