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Finding the Fourth Proportional to 507,644.28, 700,577.10 and 281,284.92

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Solution

The fourth proportional to 507,644.28, 700,577.10 and 281,284.92 is: 388,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,644.28 : 700,577.10 = 281,284.92 : x
  2. Step 2: Convert to fraction form
    507,644.28/700,577.10 = 281,284.92/x
  3. Step 3: Cross multiply
    507,644.28x = 700,577.10 × 281,284.92
  4. Step 4: Simplify right side
    507,644.28x = 197,061,773,527.33
  5. Step 5: Solve for x
    x = 197,061,773,527.33/507,644.28
  6. Step 6: Final answer
    x = 388,188.70

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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.