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Finding the Fourth Proportional to 507,734.64, 700,661.88 and 281,375.28

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Solution

The fourth proportional to 507,734.64, 700,661.88 and 281,375.28 is: 388,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,734.64 : 700,661.88 = 281,375.28 : x
  2. Step 2: Convert to fraction form
    507,734.64/700,661.88 = 281,375.28/x
  3. Step 3: Cross multiply
    507,734.64x = 700,661.88 × 281,375.28
  4. Step 4: Simplify right side
    507,734.64x = 197,148,932,670.33
  5. Step 5: Solve for x
    x = 197,148,932,670.33/507,734.64
  6. Step 6: Final answer
    x = 388,291.28

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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.