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Finding the Fourth Proportional to 272,539.76, 376,531.46 and 208,234.06

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Solution

The fourth proportional to 272,539.76, 376,531.46 and 208,234.06 is: 287,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,539.76 : 376,531.46 = 208,234.06 : x
  2. Step 2: Convert to fraction form
    272,539.76/376,531.46 = 208,234.06/x
  3. Step 3: Cross multiply
    272,539.76x = 376,531.46 × 208,234.06
  4. Step 4: Simplify right side
    272,539.76x = 78,406,674,633.53
  5. Step 5: Solve for x
    x = 78,406,674,633.53/272,539.76
  6. Step 6: Final answer
    x = 287,688.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.