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Finding the Fourth Proportional to 538,718.45, 743,442.71 and 297,011.21

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Solution

The fourth proportional to 538,718.45, 743,442.71 and 297,011.21 is: 409,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,718.45 : 743,442.71 = 297,011.21 : x
  2. Step 2: Convert to fraction form
    538,718.45/743,442.71 = 297,011.21/x
  3. Step 3: Cross multiply
    538,718.45x = 743,442.71 × 297,011.21
  4. Step 4: Simplify right side
    538,718.45x = 220,810,813,660.51
  5. Step 5: Solve for x
    x = 220,810,813,660.51/538,718.45
  6. Step 6: Final answer
    x = 409,881.67

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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.