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Finding the Fourth Proportional to 513,645, 708,832.86 and 287,290.44

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Solution

The fourth proportional to 513,645, 708,832.86 and 287,290.44 is: 396,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,645 : 708,832.86 = 287,290.44 : x
  2. Step 2: Convert to fraction form
    513,645/708,832.86 = 287,290.44/x
  3. Step 3: Cross multiply
    513,645x = 708,832.86 × 287,290.44
  4. Step 4: Simplify right side
    513,645x = 203,640,904,235.86
  5. Step 5: Solve for x
    x = 203,640,904,235.86/513,645
  6. Step 6: Final answer
    x = 396,462.35

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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.