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Finding the Fourth Proportional to 409,369.96, 614,011.74 and 109,881.64

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Solution

The fourth proportional to 409,369.96, 614,011.74 and 109,881.64 is: 164,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,369.96 : 614,011.74 = 109,881.64 : x
  2. Step 2: Convert to fraction form
    409,369.96/614,011.74 = 109,881.64/x
  3. Step 3: Cross multiply
    409,369.96x = 614,011.74 × 109,881.64
  4. Step 4: Simplify right side
    409,369.96x = 67,468,616,970.45
  5. Step 5: Solve for x
    x = 67,468,616,970.45/409,369.96
  6. Step 6: Final answer
    x = 164,810.86

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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.