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Finding the Fourth Proportional to 510,862.94, 704,906.40 and 309,658.94

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Solution

The fourth proportional to 510,862.94, 704,906.40 and 309,658.94 is: 427,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,862.94 : 704,906.40 = 309,658.94 : x
  2. Step 2: Convert to fraction form
    510,862.94/704,906.40 = 309,658.94/x
  3. Step 3: Cross multiply
    510,862.94x = 704,906.40 × 309,658.94
  4. Step 4: Simplify right side
    510,862.94x = 218,280,568,623.22
  5. Step 5: Solve for x
    x = 218,280,568,623.22/510,862.94
  6. Step 6: Final answer
    x = 427,278.14

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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.