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Finding the Fourth Proportional to 378,798.42, 522,831.29 and 217,746.90

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Solution

The fourth proportional to 378,798.42, 522,831.29 and 217,746.90 is: 300,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,798.42 : 522,831.29 = 217,746.90 : x
  2. Step 2: Convert to fraction form
    378,798.42/522,831.29 = 217,746.90/x
  3. Step 3: Cross multiply
    378,798.42x = 522,831.29 × 217,746.90
  4. Step 4: Simplify right side
    378,798.42x = 113,844,892,620.50
  5. Step 5: Solve for x
    x = 113,844,892,620.50/378,798.42
  6. Step 6: Final answer
    x = 300,542.15

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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.