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Finding the Fourth Proportional to 513,625.96, 708,831.30 and 287,232.04

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Solution

The fourth proportional to 513,625.96, 708,831.30 and 287,232.04 is: 396,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,625.96 : 708,831.30 = 287,232.04 : x
  2. Step 2: Convert to fraction form
    513,625.96/708,831.30 = 287,232.04/x
  3. Step 3: Cross multiply
    513,625.96x = 708,831.30 × 287,232.04
  4. Step 4: Simplify right side
    513,625.96x = 203,599,060,314.85
  5. Step 5: Solve for x
    x = 203,599,060,314.85/513,625.96
  6. Step 6: Final answer
    x = 396,395.58

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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.