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Finding the Fourth Proportional to 507,225.06, 699,991.68 and 280,870.56

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Solution

The fourth proportional to 507,225.06, 699,991.68 and 280,870.56 is: 387,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,225.06 : 699,991.68 = 280,870.56 : x
  2. Step 2: Convert to fraction form
    507,225.06/699,991.68 = 280,870.56/x
  3. Step 3: Cross multiply
    507,225.06x = 699,991.68 × 280,870.56
  4. Step 4: Simplify right side
    507,225.06x = 196,607,055,156.94
  5. Step 5: Solve for x
    x = 196,607,055,156.94/507,225.06
  6. Step 6: Final answer
    x = 387,613.06

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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.