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Finding the Fourth Proportional to 541,642.40, 747,457.36 and 299,919.79

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Solution

The fourth proportional to 541,642.40, 747,457.36 and 299,919.79 is: 413,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,642.40 : 747,457.36 = 299,919.79 : x
  2. Step 2: Convert to fraction form
    541,642.40/747,457.36 = 299,919.79/x
  3. Step 3: Cross multiply
    541,642.40x = 747,457.36 × 299,919.79
  4. Step 4: Simplify right side
    541,642.40x = 224,177,251,826.71
  5. Step 5: Solve for x
    x = 224,177,251,826.71/541,642.40
  6. Step 6: Final answer
    x = 413,884.24

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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.