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Finding the Fourth Proportional to 405,951.84, 560,202 and 224,671.28

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Solution

The fourth proportional to 405,951.84, 560,202 and 224,671.28 is: 310,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,951.84 : 560,202 = 224,671.28 : x
  2. Step 2: Convert to fraction form
    405,951.84/560,202 = 224,671.28/x
  3. Step 3: Cross multiply
    405,951.84x = 560,202 × 224,671.28
  4. Step 4: Simplify right side
    405,951.84x = 125,861,300,398.56
  5. Step 5: Solve for x
    x = 125,861,300,398.56/405,951.84
  6. Step 6: Final answer
    x = 310,039.98

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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.