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Finding the Fourth Proportional to 523,317.36, 721,989 and 296,831.64

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Solution

The fourth proportional to 523,317.36, 721,989 and 296,831.64 is: 409,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,317.36 : 721,989 = 296,831.64 : x
  2. Step 2: Convert to fraction form
    523,317.36/721,989 = 296,831.64/x
  3. Step 3: Cross multiply
    523,317.36x = 721,989 × 296,831.64
  4. Step 4: Simplify right side
    523,317.36x = 214,309,178,931.96
  5. Step 5: Solve for x
    x = 214,309,178,931.96/523,317.36
  6. Step 6: Final answer
    x = 409,520.48

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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.