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Finding the Fourth Proportional to 510,859.94, 704,902.26 and 309,655.94

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Solution

The fourth proportional to 510,859.94, 704,902.26 and 309,655.94 is: 427,274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,859.94 : 704,902.26 = 309,655.94 : x
  2. Step 2: Convert to fraction form
    510,859.94/704,902.26 = 309,655.94/x
  3. Step 3: Cross multiply
    510,859.94x = 704,902.26 × 309,655.94
  4. Step 4: Simplify right side
    510,859.94x = 218,277,171,928.42
  5. Step 5: Solve for x
    x = 218,277,171,928.42/510,859.94
  6. Step 6: Final answer
    x = 427,274.00

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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.