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Finding the Fourth Proportional to 405,247.92, 607,872.06 and 105,728.10

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Solution

The fourth proportional to 405,247.92, 607,872.06 and 105,728.10 is: 158,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,247.92 : 607,872.06 = 105,728.10 : x
  2. Step 2: Convert to fraction form
    405,247.92/607,872.06 = 105,728.10/x
  3. Step 3: Cross multiply
    405,247.92x = 607,872.06 × 105,728.10
  4. Step 4: Simplify right side
    405,247.92x = 64,269,157,946.89
  5. Step 5: Solve for x
    x = 64,269,157,946.89/405,247.92
  6. Step 6: Final answer
    x = 158,592.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.