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Finding the Fourth Proportional to 438,211.84, 657,505.41 and 138,716.80

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Solution

The fourth proportional to 438,211.84, 657,505.41 and 138,716.80 is: 208,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,211.84 : 657,505.41 = 138,716.80 : x
  2. Step 2: Convert to fraction form
    438,211.84/657,505.41 = 138,716.80/x
  3. Step 3: Cross multiply
    438,211.84x = 657,505.41 × 138,716.80
  4. Step 4: Simplify right side
    438,211.84x = 91,207,046,457.89
  5. Step 5: Solve for x
    x = 91,207,046,457.89/438,211.84
  6. Step 6: Final answer
    x = 208,134.60

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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.