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Finding the Fourth Proportional to 603,415.28, 832,686.15 and 361,831.16

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Solution

The fourth proportional to 603,415.28, 832,686.15 and 361,831.16 is: 499,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,415.28 : 832,686.15 = 361,831.16 : x
  2. Step 2: Convert to fraction form
    603,415.28/832,686.15 = 361,831.16/x
  3. Step 3: Cross multiply
    603,415.28x = 832,686.15 × 361,831.16
  4. Step 4: Simplify right side
    603,415.28x = 301,291,795,570.43
  5. Step 5: Solve for x
    x = 301,291,795,570.43/603,415.28
  6. Step 6: Final answer
    x = 499,310.85

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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.