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Finding the Fourth Proportional to 412,347.64, 618,641.34 and 172,574.68

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Solution

The fourth proportional to 412,347.64, 618,641.34 and 172,574.68 is: 258,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,347.64 : 618,641.34 = 172,574.68 : x
  2. Step 2: Convert to fraction form
    412,347.64/618,641.34 = 172,574.68/x
  3. Step 3: Cross multiply
    412,347.64x = 618,641.34 × 172,574.68
  4. Step 4: Simplify right side
    412,347.64x = 106,761,831,285.27
  5. Step 5: Solve for x
    x = 106,761,831,285.27/412,347.64
  6. Step 6: Final answer
    x = 258,912.19

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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.