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Finding the Fourth Proportional to 538,628.40, 743,312.40 and 296,920.56

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Solution

The fourth proportional to 538,628.40, 743,312.40 and 296,920.56 is: 409,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,628.40 : 743,312.40 = 296,920.56 : x
  2. Step 2: Convert to fraction form
    538,628.40/743,312.40 = 296,920.56/x
  3. Step 3: Cross multiply
    538,628.40x = 743,312.40 × 296,920.56
  4. Step 4: Simplify right side
    538,628.40x = 220,704,734,062.94
  5. Step 5: Solve for x
    x = 220,704,734,062.94/538,628.40
  6. Step 6: Final answer
    x = 409,753.24

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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.