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Finding the Fourth Proportional to 507,051.68, 699,731.48 and 280,697.16

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Solution

The fourth proportional to 507,051.68, 699,731.48 and 280,697.16 is: 387,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,051.68 : 699,731.48 = 280,697.16 : x
  2. Step 2: Convert to fraction form
    507,051.68/699,731.48 = 280,697.16/x
  3. Step 3: Cross multiply
    507,051.68x = 699,731.48 × 280,697.16
  4. Step 4: Simplify right side
    507,051.68x = 196,412,639,198.60
  5. Step 5: Solve for x
    x = 196,412,639,198.60/507,051.68
  6. Step 6: Final answer
    x = 387,362.17

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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.