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Finding the Fourth Proportional to 523,439.52, 722,328.30 and 319,831.23

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Solution

The fourth proportional to 523,439.52, 722,328.30 and 319,831.23 is: 441,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,439.52 : 722,328.30 = 319,831.23 : x
  2. Step 2: Convert to fraction form
    523,439.52/722,328.30 = 319,831.23/x
  3. Step 3: Cross multiply
    523,439.52x = 722,328.30 × 319,831.23
  4. Step 4: Simplify right side
    523,439.52x = 231,023,148,652.81
  5. Step 5: Solve for x
    x = 231,023,148,652.81/523,439.52
  6. Step 6: Final answer
    x = 441,355.95

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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.