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Finding the Fourth Proportional to 508,136.78, 761,540.72 and 208,266.26

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Solution

The fourth proportional to 508,136.78, 761,540.72 and 208,266.26 is: 312,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,136.78 : 761,540.72 = 208,266.26 : x
  2. Step 2: Convert to fraction form
    508,136.78/761,540.72 = 208,266.26/x
  3. Step 3: Cross multiply
    508,136.78x = 761,540.72 × 208,266.26
  4. Step 4: Simplify right side
    508,136.78x = 158,603,237,592.11
  5. Step 5: Solve for x
    x = 158,603,237,592.11/508,136.78
  6. Step 6: Final answer
    x = 312,127.06

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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.