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Finding the Fourth Proportional to 514,831.86, 710,813.97 and 321,533.46

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Solution

The fourth proportional to 514,831.86, 710,813.97 and 321,533.46 is: 443,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,831.86 : 710,813.97 = 321,533.46 : x
  2. Step 2: Convert to fraction form
    514,831.86/710,813.97 = 321,533.46/x
  3. Step 3: Cross multiply
    514,831.86x = 710,813.97 × 321,533.46
  4. Step 4: Simplify right side
    514,831.86x = 228,550,475,190.44
  5. Step 5: Solve for x
    x = 228,550,475,190.44/514,831.86
  6. Step 6: Final answer
    x = 443,932.27

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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.