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Finding the Fourth Proportional to 399,186.40, 598,862.80 and 133,029.60

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Solution

The fourth proportional to 399,186.40, 598,862.80 and 133,029.60 is: 199,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,186.40 : 598,862.80 = 133,029.60 : x
  2. Step 2: Convert to fraction form
    399,186.40/598,862.80 = 133,029.60/x
  3. Step 3: Cross multiply
    399,186.40x = 598,862.80 × 133,029.60
  4. Step 4: Simplify right side
    399,186.40x = 79,666,478,738.88
  5. Step 5: Solve for x
    x = 79,666,478,738.88/399,186.40
  6. Step 6: Final answer
    x = 199,572.13

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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.