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Finding the Fourth Proportional to 517,300.68, 713,874.78 and 290,946

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Solution

The fourth proportional to 517,300.68, 713,874.78 and 290,946 is: 401,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,300.68 : 713,874.78 = 290,946 : x
  2. Step 2: Convert to fraction form
    517,300.68/713,874.78 = 290,946/x
  3. Step 3: Cross multiply
    517,300.68x = 713,874.78 × 290,946
  4. Step 4: Simplify right side
    517,300.68x = 207,699,011,741.88
  5. Step 5: Solve for x
    x = 207,699,011,741.88/517,300.68
  6. Step 6: Final answer
    x = 401,505.39

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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.