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Finding the Fourth Proportional to 862,083.12, 1,293,124.60 and 329,658

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Solution

The fourth proportional to 862,083.12, 1,293,124.60 and 329,658 is: 494,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,083.12 : 1,293,124.60 = 329,658 : x
  2. Step 2: Convert to fraction form
    862,083.12/1,293,124.60 = 329,658/x
  3. Step 3: Cross multiply
    862,083.12x = 1,293,124.60 × 329,658
  4. Step 4: Simplify right side
    862,083.12x = 426,288,869,386.80
  5. Step 5: Solve for x
    x = 426,288,869,386.80/862,083.12
  6. Step 6: Final answer
    x = 494,486.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.