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Finding the Fourth Proportional to 565,376.42, 780,265.78 and 339,017.06

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Solution

The fourth proportional to 565,376.42, 780,265.78 and 339,017.06 is: 467,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,376.42 : 780,265.78 = 339,017.06 : x
  2. Step 2: Convert to fraction form
    565,376.42/780,265.78 = 339,017.06/x
  3. Step 3: Cross multiply
    565,376.42x = 780,265.78 × 339,017.06
  4. Step 4: Simplify right side
    565,376.42x = 264,523,410,754.21
  5. Step 5: Solve for x
    x = 264,523,410,754.21/565,376.42
  6. Step 6: Final answer
    x = 467,871.32

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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.