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Finding the Fourth Proportional to 508,104.67, 761,492.60 and 208,234.17

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Solution

The fourth proportional to 508,104.67, 761,492.60 and 208,234.17 is: 312,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,104.67 : 761,492.60 = 208,234.17 : x
  2. Step 2: Convert to fraction form
    508,104.67/761,492.60 = 208,234.17/x
  3. Step 3: Cross multiply
    508,104.67x = 761,492.60 × 208,234.17
  4. Step 4: Simplify right side
    508,104.67x = 158,568,779,522.14
  5. Step 5: Solve for x
    x = 158,568,779,522.14/508,104.67
  6. Step 6: Final answer
    x = 312,078.96

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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.