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Finding the Fourth Proportional to 438,212.84, 657,506.91 and 138,717.80

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Solution

The fourth proportional to 438,212.84, 657,506.91 and 138,717.80 is: 208,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,212.84 : 657,506.91 = 138,717.80 : x
  2. Step 2: Convert to fraction form
    438,212.84/657,506.91 = 138,717.80/x
  3. Step 3: Cross multiply
    438,212.84x = 657,506.91 × 138,717.80
  4. Step 4: Simplify right side
    438,212.84x = 91,207,912,040.00
  5. Step 5: Solve for x
    x = 91,207,912,040.00/438,212.84
  6. Step 6: Final answer
    x = 208,136.10

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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.