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Finding the Fourth Proportional to 538,095.10, 742,576.26 and 296,378.56

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Solution

The fourth proportional to 538,095.10, 742,576.26 and 296,378.56 is: 409,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,095.10 : 742,576.26 = 296,378.56 : x
  2. Step 2: Convert to fraction form
    538,095.10/742,576.26 = 296,378.56/x
  3. Step 3: Cross multiply
    538,095.10x = 742,576.26 × 296,378.56
  4. Step 4: Simplify right side
    538,095.10x = 220,083,682,628.99
  5. Step 5: Solve for x
    x = 220,083,682,628.99/538,095.10
  6. Step 6: Final answer
    x = 409,005.18

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1.5x scale

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.