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Finding the Fourth Proportional to 512,463.60, 707,185.08 and 286,104.24

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Solution

The fourth proportional to 512,463.60, 707,185.08 and 286,104.24 is: 394,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,463.60 : 707,185.08 = 286,104.24 : x
  2. Step 2: Convert to fraction form
    512,463.60/707,185.08 = 286,104.24/x
  3. Step 3: Cross multiply
    512,463.60x = 707,185.08 × 286,104.24
  4. Step 4: Simplify right side
    512,463.60x = 202,328,649,852.74
  5. Step 5: Solve for x
    x = 202,328,649,852.74/512,463.60
  6. Step 6: Final answer
    x = 394,815.65

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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.