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Finding the Fourth Proportional to 507,842.09, 700,872.20 and 290,083.30

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Solution

The fourth proportional to 507,842.09, 700,872.20 and 290,083.30 is: 400,343.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,842.09 : 700,872.20 = 290,083.30 : x
  2. Step 2: Convert to fraction form
    507,842.09/700,872.20 = 290,083.30/x
  3. Step 3: Cross multiply
    507,842.09x = 700,872.20 × 290,083.30
  4. Step 4: Simplify right side
    507,842.09x = 203,311,315,699.48
  5. Step 5: Solve for x
    x = 203,311,315,699.48/507,842.09
  6. Step 6: Final answer
    x = 400,343.57

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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.