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Finding the Fourth Proportional to 417,643.21, 576,315.70 and 245,568.16

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Solution

The fourth proportional to 417,643.21, 576,315.70 and 245,568.16 is: 338,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,643.21 : 576,315.70 = 245,568.16 : x
  2. Step 2: Convert to fraction form
    417,643.21/576,315.70 = 245,568.16/x
  3. Step 3: Cross multiply
    417,643.21x = 576,315.70 × 245,568.16
  4. Step 4: Simplify right side
    417,643.21x = 141,524,786,028.11
  5. Step 5: Solve for x
    x = 141,524,786,028.11/417,643.21
  6. Step 6: Final answer
    x = 338,865.29

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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.