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Finding the Fourth Proportional to 512,888.00, 707,748.37 and 283,442.54

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Solution

The fourth proportional to 512,888.00, 707,748.37 and 283,442.54 is: 391,130.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,888.00 : 707,748.37 = 283,442.54 : x
  2. Step 2: Convert to fraction form
    512,888.00/707,748.37 = 283,442.54/x
  3. Step 3: Cross multiply
    512,888.00x = 707,748.37 × 283,442.54
  4. Step 4: Simplify right side
    512,888.00x = 200,605,991,426.31
  5. Step 5: Solve for x
    x = 200,605,991,426.31/512,888.00
  6. Step 6: Final answer
    x = 391,130.21

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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.