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Finding the Fourth Proportional to 541,642.16, 747,457.02 and 299,919.54

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Solution

The fourth proportional to 541,642.16, 747,457.02 and 299,919.54 is: 413,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,642.16 : 747,457.02 = 299,919.54 : x
  2. Step 2: Convert to fraction form
    541,642.16/747,457.02 = 299,919.54/x
  3. Step 3: Cross multiply
    541,642.16x = 747,457.02 × 299,919.54
  4. Step 4: Simplify right side
    541,642.16x = 224,176,960,371.29
  5. Step 5: Solve for x
    x = 224,176,960,371.29/541,642.16
  6. Step 6: Final answer
    x = 413,883.89

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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.