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Finding the Fourth Proportional to 469,912.10, 648,477.05 and 255,052.15

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Solution

The fourth proportional to 469,912.10, 648,477.05 and 255,052.15 is: 351,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,912.10 : 648,477.05 = 255,052.15 : x
  2. Step 2: Convert to fraction form
    469,912.10/648,477.05 = 255,052.15/x
  3. Step 3: Cross multiply
    469,912.10x = 648,477.05 × 255,052.15
  4. Step 4: Simplify right side
    469,912.10x = 165,395,465,828.16
  5. Step 5: Solve for x
    x = 165,395,465,828.16/469,912.10
  6. Step 6: Final answer
    x = 351,971.07

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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.