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Finding the Fourth Proportional to 405,916.40, 560,150.85 and 224,635.97

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Solution

The fourth proportional to 405,916.40, 560,150.85 and 224,635.97 is: 309,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,916.40 : 560,150.85 = 224,635.97 : x
  2. Step 2: Convert to fraction form
    405,916.40/560,150.85 = 224,635.97/x
  3. Step 3: Cross multiply
    405,916.40x = 560,150.85 × 224,635.97
  4. Step 4: Simplify right side
    405,916.40x = 125,830,031,778.84
  5. Step 5: Solve for x
    x = 125,830,031,778.84/405,916.40
  6. Step 6: Final answer
    x = 309,990.02

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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.