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Finding the Fourth Proportional to 306,498.33, 459,742.88 and 137,899.59

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Solution

The fourth proportional to 306,498.33, 459,742.88 and 137,899.59 is: 206,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,498.33 : 459,742.88 = 137,899.59 : x
  2. Step 2: Convert to fraction form
    306,498.33/459,742.88 = 137,899.59/x
  3. Step 3: Cross multiply
    306,498.33x = 459,742.88 × 137,899.59
  4. Step 4: Simplify right side
    306,498.33x = 63,398,353,967.92
  5. Step 5: Solve for x
    x = 63,398,353,967.92/306,498.33
  6. Step 6: Final answer
    x = 206,847.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.