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Finding the Fourth Proportional to 541,642.76, 747,457.86 and 299,920.13

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Solution

The fourth proportional to 541,642.76, 747,457.86 and 299,920.13 is: 413,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,642.76 : 747,457.86 = 299,920.13 : x
  2. Step 2: Convert to fraction form
    541,642.76/747,457.86 = 299,920.13/x
  3. Step 3: Cross multiply
    541,642.76x = 747,457.86 × 299,920.13
  4. Step 4: Simplify right side
    541,642.76x = 224,177,658,540.72
  5. Step 5: Solve for x
    x = 224,177,658,540.72/541,642.76
  6. Step 6: Final answer
    x = 413,884.71

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Double scale
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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.