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Finding the Fourth Proportional to 507,748.56, 700,693.02 and 281,408.64

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Solution

The fourth proportional to 507,748.56, 700,693.02 and 281,408.64 is: 388,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,748.56 : 700,693.02 = 281,408.64 : x
  2. Step 2: Convert to fraction form
    507,748.56/700,693.02 = 281,408.64/x
  3. Step 3: Cross multiply
    507,748.56x = 700,693.02 × 281,408.64
  4. Step 4: Simplify right side
    507,748.56x = 197,181,069,815.69
  5. Step 5: Solve for x
    x = 197,181,069,815.69/507,748.56
  6. Step 6: Final answer
    x = 388,343.93

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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.