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Finding the Fourth Proportional to 510,861.90, 704,961.72 and 281,374.53

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Solution

The fourth proportional to 510,861.90, 704,961.72 and 281,374.53 is: 388,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,861.90 : 704,961.72 = 281,374.53 : x
  2. Step 2: Convert to fraction form
    510,861.90/704,961.72 = 281,374.53/x
  3. Step 3: Cross multiply
    510,861.90x = 704,961.72 × 281,374.53
  4. Step 4: Simplify right side
    510,861.90x = 198,358,272,632.99
  5. Step 5: Solve for x
    x = 198,358,272,632.99/510,861.90
  6. Step 6: Final answer
    x = 388,281.59

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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.