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Finding the Fourth Proportional to 513,180, 708,210.27 and 286,825.50

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Solution

The fourth proportional to 513,180, 708,210.27 and 286,825.50 is: 395,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,180 : 708,210.27 = 286,825.50 : x
  2. Step 2: Convert to fraction form
    513,180/708,210.27 = 286,825.50/x
  3. Step 3: Cross multiply
    513,180x = 708,210.27 × 286,825.50
  4. Step 4: Simplify right side
    513,180x = 203,132,764,797.89
  5. Step 5: Solve for x
    x = 203,132,764,797.89/513,180
  6. Step 6: Final answer
    x = 395,831.41

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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.