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Finding the Fourth Proportional to 409,548.32, 614,280.94 and 109,989.96

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Solution

The fourth proportional to 409,548.32, 614,280.94 and 109,989.96 is: 164,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,548.32 : 614,280.94 = 109,989.96 : x
  2. Step 2: Convert to fraction form
    409,548.32/614,280.94 = 109,989.96/x
  3. Step 3: Cross multiply
    409,548.32x = 614,280.94 × 109,989.96
  4. Step 4: Simplify right side
    409,548.32x = 67,564,736,019.36
  5. Step 5: Solve for x
    x = 67,564,736,019.36/409,548.32
  6. Step 6: Final answer
    x = 164,973.78

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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.