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Finding the Fourth Proportional to 538,477.70, 743,095.40 and 296,760.47

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Solution

The fourth proportional to 538,477.70, 743,095.40 and 296,760.47 is: 409,527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,477.70 : 743,095.40 = 296,760.47 : x
  2. Step 2: Convert to fraction form
    538,477.70/743,095.40 = 296,760.47/x
  3. Step 3: Cross multiply
    538,477.70x = 743,095.40 × 296,760.47
  4. Step 4: Simplify right side
    538,477.70x = 220,521,334,959.56
  5. Step 5: Solve for x
    x = 220,521,334,959.56/538,477.70
  6. Step 6: Final answer
    x = 409,527.33

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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.