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Finding the Fourth Proportional to 417,427.88, 626,243.72 and 133,118.43

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Solution

The fourth proportional to 417,427.88, 626,243.72 and 133,118.43 is: 199,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,427.88 : 626,243.72 = 133,118.43 : x
  2. Step 2: Convert to fraction form
    417,427.88/626,243.72 = 133,118.43/x
  3. Step 3: Cross multiply
    417,427.88x = 626,243.72 × 133,118.43
  4. Step 4: Simplify right side
    417,427.88x = 83,364,580,803.76
  5. Step 5: Solve for x
    x = 83,364,580,803.76/417,427.88
  6. Step 6: Final answer
    x = 199,710.14

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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.