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Finding the Fourth Proportional to 531,990.87, 734,145.84 and 290,271.75

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Solution

The fourth proportional to 531,990.87, 734,145.84 and 290,271.75 is: 400,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,990.87 : 734,145.84 = 290,271.75 : x
  2. Step 2: Convert to fraction form
    531,990.87/734,145.84 = 290,271.75/x
  3. Step 3: Cross multiply
    531,990.87x = 734,145.84 × 290,271.75
  4. Step 4: Simplify right side
    531,990.87x = 213,101,797,732.02
  5. Step 5: Solve for x
    x = 213,101,797,732.02/531,990.87
  6. Step 6: Final answer
    x = 400,574.16

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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.