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Finding the Fourth Proportional to 561,831.04, 775,136.90 and 319,942.10

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Solution

The fourth proportional to 561,831.04, 775,136.90 and 319,942.10 is: 441,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,831.04 : 775,136.90 = 319,942.10 : x
  2. Step 2: Convert to fraction form
    561,831.04/775,136.90 = 319,942.10/x
  3. Step 3: Cross multiply
    561,831.04x = 775,136.90 × 319,942.10
  4. Step 4: Simplify right side
    561,831.04x = 247,998,927,573.49
  5. Step 5: Solve for x
    x = 247,998,927,573.49/561,831.04
  6. Step 6: Final answer
    x = 441,411.94

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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.