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Finding the Fourth Proportional to 405,865.92, 560,095.62 and 224,585.49

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Solution

The fourth proportional to 405,865.92, 560,095.62 and 224,585.49 is: 309,928.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,865.92 : 560,095.62 = 224,585.49 : x
  2. Step 2: Convert to fraction form
    405,865.92/560,095.62 = 224,585.49/x
  3. Step 3: Cross multiply
    405,865.92x = 560,095.62 × 224,585.49
  4. Step 4: Simplify right side
    405,865.92x = 125,789,349,264.55
  5. Step 5: Solve for x
    x = 125,789,349,264.55/405,865.92
  6. Step 6: Final answer
    x = 309,928.34

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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.