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Finding the Fourth Proportional to 507,828.72, 700,827.48 and 281,478

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Solution

The fourth proportional to 507,828.72, 700,827.48 and 281,478 is: 388,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,828.72 : 700,827.48 = 281,478 : x
  2. Step 2: Convert to fraction form
    507,828.72/700,827.48 = 281,478/x
  3. Step 3: Cross multiply
    507,828.72x = 700,827.48 × 281,478
  4. Step 4: Simplify right side
    507,828.72x = 197,267,517,415.44
  5. Step 5: Solve for x
    x = 197,267,517,415.44/507,828.72
  6. Step 6: Final answer
    x = 388,452.86

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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.