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Finding the Fourth Proportional to 507,871.85, 700,871.00 and 278,451.09

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Solution

The fourth proportional to 507,871.85, 700,871.00 and 278,451.09 is: 384,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,871.85 : 700,871.00 = 278,451.09 : x
  2. Step 2: Convert to fraction form
    507,871.85/700,871.00 = 278,451.09/x
  3. Step 3: Cross multiply
    507,871.85x = 700,871.00 × 278,451.09
  4. Step 4: Simplify right side
    507,871.85x = 195,158,292,507.14
  5. Step 5: Solve for x
    x = 195,158,292,507.14/507,871.85
  6. Step 6: Final answer
    x = 384,266.81

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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.