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Finding the Fourth Proportional to 409,801.20, 614,701.80 and 129,318.45

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Solution

The fourth proportional to 409,801.20, 614,701.80 and 129,318.45 is: 193,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,801.20 : 614,701.80 = 129,318.45 : x
  2. Step 2: Convert to fraction form
    409,801.20/614,701.80 = 129,318.45/x
  3. Step 3: Cross multiply
    409,801.20x = 614,701.80 × 129,318.45
  4. Step 4: Simplify right side
    409,801.20x = 79,492,283,988.21
  5. Step 5: Solve for x
    x = 79,492,283,988.21/409,801.20
  6. Step 6: Final answer
    x = 193,977.68

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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.