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Finding the Fourth Proportional to 306,242.56, 459,457.09 and 156,587.97

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Solution

The fourth proportional to 306,242.56, 459,457.09 and 156,587.97 is: 234,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,242.56 : 459,457.09 = 156,587.97 : x
  2. Step 2: Convert to fraction form
    306,242.56/459,457.09 = 156,587.97/x
  3. Step 3: Cross multiply
    306,242.56x = 459,457.09 × 156,587.97
  4. Step 4: Simplify right side
    306,242.56x = 71,945,452,633.74
  5. Step 5: Solve for x
    x = 71,945,452,633.74/306,242.56
  6. Step 6: Final answer
    x = 234,929.64

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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.