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Finding the Fourth Proportional to 687,493.72, 948,915.74 and 469,790.52

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Solution

The fourth proportional to 687,493.72, 948,915.74 and 469,790.52 is: 648,430.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,493.72 : 948,915.74 = 469,790.52 : x
  2. Step 2: Convert to fraction form
    687,493.72/948,915.74 = 469,790.52/x
  3. Step 3: Cross multiply
    687,493.72x = 948,915.74 × 469,790.52
  4. Step 4: Simplify right side
    687,493.72x = 445,791,613,576.44
  5. Step 5: Solve for x
    x = 445,791,613,576.44/687,493.72
  6. Step 6: Final answer
    x = 648,430.09

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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.