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Finding the Fourth Proportional to 535,060.81, 738,389.92 and 305,648.47

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Solution

The fourth proportional to 535,060.81, 738,389.92 and 305,648.47 is: 421,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,060.81 : 738,389.92 = 305,648.47 : x
  2. Step 2: Convert to fraction form
    535,060.81/738,389.92 = 305,648.47/x
  3. Step 3: Cross multiply
    535,060.81x = 738,389.92 × 305,648.47
  4. Step 4: Simplify right side
    535,060.81x = 225,687,745,619.47
  5. Step 5: Solve for x
    x = 225,687,745,619.47/535,060.81
  6. Step 6: Final answer
    x = 421,798.31

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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.