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Finding the Fourth Proportional to 512,811.74, 707,680.16 and 286,457.24

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Solution

The fourth proportional to 512,811.74, 707,680.16 and 286,457.24 is: 395,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,811.74 : 707,680.16 = 286,457.24 : x
  2. Step 2: Convert to fraction form
    512,811.74/707,680.16 = 286,457.24/x
  3. Step 3: Cross multiply
    512,811.74x = 707,680.16 × 286,457.24
  4. Step 4: Simplify right side
    512,811.74x = 202,720,105,436.36
  5. Step 5: Solve for x
    x = 202,720,105,436.36/512,811.74
  6. Step 6: Final answer
    x = 395,310.97

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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.