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Finding the Fourth Proportional to 399,184.40, 598,859.80 and 133,027.60

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Solution

The fourth proportional to 399,184.40, 598,859.80 and 133,027.60 is: 199,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,184.40 : 598,859.80 = 133,027.60 : x
  2. Step 2: Convert to fraction form
    399,184.40/598,859.80 = 133,027.60/x
  3. Step 3: Cross multiply
    399,184.40x = 598,859.80 × 133,027.60
  4. Step 4: Simplify right side
    399,184.40x = 79,664,881,930.48
  5. Step 5: Solve for x
    x = 79,664,881,930.48/399,184.40
  6. Step 6: Final answer
    x = 199,569.13

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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.