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Finding the Fourth Proportional to 512,617.08, 707,388.96 and 286,257.72

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Solution

The fourth proportional to 512,617.08, 707,388.96 and 286,257.72 is: 395,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,617.08 : 707,388.96 = 286,257.72 : x
  2. Step 2: Convert to fraction form
    512,617.08/707,388.96 = 286,257.72/x
  3. Step 3: Cross multiply
    512,617.08x = 707,388.96 × 286,257.72
  4. Step 4: Simplify right side
    512,617.08x = 202,495,550,842.77
  5. Step 5: Solve for x
    x = 202,495,550,842.77/512,617.08
  6. Step 6: Final answer
    x = 395,023.03

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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.