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Finding the Fourth Proportional to 624,134.72, 860,908.56 and 409,288.16

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Solution

The fourth proportional to 624,134.72, 860,908.56 and 409,288.16 is: 564,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,134.72 : 860,908.56 = 409,288.16 : x
  2. Step 2: Convert to fraction form
    624,134.72/860,908.56 = 409,288.16/x
  3. Step 3: Cross multiply
    624,134.72x = 860,908.56 × 409,288.16
  4. Step 4: Simplify right side
    624,134.72x = 352,359,680,450.65
  5. Step 5: Solve for x
    x = 352,359,680,450.65/624,134.72
  6. Step 6: Final answer
    x = 564,557.09

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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.