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Finding the Fourth Proportional to 510,866.61, 704,995.97 and 296,131.29

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Solution

The fourth proportional to 510,866.61, 704,995.97 and 296,131.29 is: 408,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,866.61 : 704,995.97 = 296,131.29 : x
  2. Step 2: Convert to fraction form
    510,866.61/704,995.97 = 296,131.29/x
  3. Step 3: Cross multiply
    510,866.61x = 704,995.97 × 296,131.29
  4. Step 4: Simplify right side
    510,866.61x = 208,771,364,560.25
  5. Step 5: Solve for x
    x = 208,771,364,560.25/510,866.61
  6. Step 6: Final answer
    x = 408,661.21

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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.