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Finding the Fourth Proportional to 513,831.16, 709,087.62 and 287,476.84

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Solution

The fourth proportional to 513,831.16, 709,087.62 and 287,476.84 is: 396,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,831.16 : 709,087.62 = 287,476.84 : x
  2. Step 2: Convert to fraction form
    513,831.16/709,087.62 = 287,476.84/x
  3. Step 3: Cross multiply
    513,831.16x = 709,087.62 × 287,476.84
  4. Step 4: Simplify right side
    513,831.16x = 203,846,268,280.72
  5. Step 5: Solve for x
    x = 203,846,268,280.72/513,831.16
  6. Step 6: Final answer
    x = 396,718.39

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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.