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Finding the Fourth Proportional to 535,762.24, 739,298.05 and 320,896.78

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Solution

The fourth proportional to 535,762.24, 739,298.05 and 320,896.78 is: 442,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,762.24 : 739,298.05 = 320,896.78 : x
  2. Step 2: Convert to fraction form
    535,762.24/739,298.05 = 320,896.78/x
  3. Step 3: Cross multiply
    535,762.24x = 739,298.05 × 320,896.78
  4. Step 4: Simplify right side
    535,762.24x = 237,238,363,705.28
  5. Step 5: Solve for x
    x = 237,238,363,705.28/535,762.24
  6. Step 6: Final answer
    x = 442,805.31

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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.