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Finding the Fourth Proportional to 517,269.92, 713,838.83 and 290,915.42

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Solution

The fourth proportional to 517,269.92, 713,838.83 and 290,915.42 is: 401,466.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,269.92 : 713,838.83 = 290,915.42 : x
  2. Step 2: Convert to fraction form
    517,269.92/713,838.83 = 290,915.42/x
  3. Step 3: Cross multiply
    517,269.92x = 713,838.83 × 290,915.42
  4. Step 4: Simplify right side
    517,269.92x = 207,666,718,017.99
  5. Step 5: Solve for x
    x = 207,666,718,017.99/517,269.92
  6. Step 6: Final answer
    x = 401,466.84

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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.